whats the equation of the line in slope-intercept form

Whats The Equation Of The Line In Slope-intercept Form

Answers

Answer 1

The equation in slope intercept form is

y = 5/2x + 5

What is Slope intercept form ?

One of the most popular ways to describe a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula may be used to get the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.

The slope intercept form is a technique for figuring out a straight line's equation in the coordinate plane. Any point's coordinates on a straight line must fulfill a certain relation, which is known as the equation of a straight line.

Any location that is not on the line will not fulfill the coordinates.

This equation's solution is simple to find. A straight line's slope, or angle of inclination from the x-axis, and the intercept it makes with the y-axis are both necessary to determine the slope intercept form of the line.

Two points on the line are (-2,0) and (0,5)

The slope intercept form is

y = mx + c

so when y = 0 and x = -2

0 = -2(m) + c

or,  2m -c = 0 ..(i)

again when x= 0 y = 5

5 = 0*m + c

c = 5

so putting c= 5 in equation (i) we get

m = 5/2

so the equation in slope intercept form is

y = 5/2x + 5

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Related Questions

Would this be correct anyone?!

Answers

Answer:

The answer would be g(x) = -4|x| - 3

Step-by-step explanation:

With transformations involving translating an absolute value function down, the translation would be outside the absolute value and is negative (since we're moving the entire graph down). As the transformation occurs after the graph is already reflected, the translation will not be affected by the reflection.

A 2 column table with 5 rows. The first column, yards of red fabric, x, has the entries 1, 2, 3, 4. The second column, yards of blue fabric, y, has the entries 27, 26, 25, 24.
Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she might buy. Which equations model the total yards of fabric Sophie will buy? Check all that apply.

Answers

The answer choices which represent equations which model the total yards of fabric Sophie will buy is; x + y = 28, 28 - x = y and 28 - y = x.

Which equations model the total yards of fabric Sophie will buy?

As evident in the attached table, where x represents the yards of red fabric she buys and y represents the yards of blue fabric she buys.

It follows that the following x and y pairs are possible; (1, 27), (2, 26), (3, 25) and (4, 24).

On this note, it can be inferred that in each of the red and blue fabric pairs; x + y = 28.

Consequently, the required equations which model the total yards of of fabric Sophie will buy are; x + y = 28, 28 - x = y and 28 - y = x.

Complete question; The given answer choices are; x+y=28, 28+x=y, x-y=28, 28-x=y and 28-y=x.

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Answer:

x+y=28
28-x=y
28-y=x

Does (0, 5) make the equation y = x + 5 true?

Answers

Yes when you graph it , it touches

How do you calculate 2 + 3 x 7?
a. 2+3 x 7 = 2+21= 23
b. 2+7x7 = 2 + 21 = 35
C. 2+7x3 = 2 + 21 = 23

Answers

The answer is a, the first one

Answer:

A

Step-by-step explanation:

using BODMAS

3×7=21+2=23

Subtract (5x + 1/3) - (3x - 1/6)

Answers

The value of the mathematical expression is 2x + 1/2

How to evaluate the mathematical expression?

From the question, we have the following parameters that can be used in our computation:

A mathematical expression

The mathematical statement is give as

Subtract (5x + 1/3) - (3x - 1/6)

When this is represented as an expression

We have the following representation

(5x + 1/3) - (3x - 1/6)

Open the brackets

So, we have the following representation

5x + 1/3 - 3x + 1/6

Collect the like terms

So, we have the following representation

5x - 3x + 1/3 + 1/6

Evaluate the like terms

2x + 1/2

Hence, the expression is 2x + 1/2

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What comes first in order pairs?

Answers

In an ordered pair (x,y), the x-coordinate comes first, followed by the y-coordinate. The x-coordinate represents the horizontal position of the point on a coordinate plane and the y-coordinate represents the vertical position of the point on a coordinate plane.

For example, in the ordered pair (4,3), 4 is the x-coordinate, and it represents the horizontal position, and 3 is the y-coordinate, and it represents the vertical position of the point (4,3) on a coordinate plane.

How do you factor polynomials ?

Answers

Answer:I often do is just see how many terms in there if is only have two that will be Binomial, if it was three therm I will just think that probably trinomial, only have one that will be the monomial, more than 3 term i will think it just polynomials.

Consider the function f(x) = 10x² - 10x.
a. Determine, without graphing, whether the function has a minimum value or a maximum value.
b. Find the minimum or maximum value and determine where it occurs.
c. Identify the function's domain and its range.

Answers

Answers:A) The graph has a minimum value.B) The minimum value is f(x) = -2.5 and it occurs when x = 0.5C) Domain is "all real numbers"; range is [tex]\boldsymbol{\text{y} \ge -2.5}[/tex]

The graph is shown below.

===================================================

Explanation:

Part A)

x² is the same as x^2

The function f(x) = 10x^2-10x is the same as y = 10x^2-10x

Compare this to the template y = ax^2+bx+c to find the following

a = 10b = -10c = 0

The value of 'a' is positive, which means the parabola opens upward. Furthermore, it tells us that the graph has a lowest point. There is no highest point since both parts of the parabola go upward forever.

-----------------------------

Part B)

We'll use the values of 'a' and b found earlier to get...

h = -b/(2a)

h = -(-10)/(2*10)

h = 10/20

h = 0.5

The min value therefore occurs when x = 0.5, which is the x coordinate of the vertex. The vertex being (h,k)

To find the value of k, we plug x = 0.5 into the original function.

y = 10x^2-10x

y = 10(0.5)^2-10*0.5

y = -2.5

This is the smallest the output y values can get. Therefore, it is the minimum value.

The vertex is located at (h,k) = (0.5, -2.5)

-----------------------------

Part C)

With any quadratic function, the domain is "set of all real numbers". We don't have to worry about things like...

Division by zero errors.Taking the square root of negative values.

And so on.

The range is [tex]\text{y} \ge -2.5[/tex] since we found y = -2.5 to be the smallest y value possible. See part B above. So either y = -2.5 or y > -2.5

Check out the graph below. I used GeoGebra to make it, but you could use Desmos or other similar graphing tools if you prefer.

What two numbers multiply to give you 16 and add up to give you negative 8

Answers

Answer:

-4 and -4

Step-by-step explanation:

-4 and -4 give you -8 added and 16 multiplied

PLEASE HELP WITH THIS QUESTION ASAP

Answers

9.6
work:
12/9 = 1.33333333
then 7.2 x 1.333333 = 9.6

How do you solve a table of values?

Answers

A table of values basically lists the values of y for the given line given the values of x.

Explain the method to solve table of values?

A table of values is a graphic organizer or chart that enables you to choose two or more points from which to make your graph.

Here is an illustration of a table of values for the equation y = 2x + 1.

Put x = 0, y = 1

Put x = 1, y = 3

The method to solve table of values are-

Making a table of values allows you to graph a line using a slope-intercept form equation. To determine the coordinate point's corresponding y-values, choose a few x values and enter those values into the equation. Create a graph and plot the points. To draw the line, join the points together.

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Answer:

Table of Values of a Function displays the table of values for the given function.

Step-by-step explanation:

How To solve the table of Values:

The procedure to use the table of values of a function calculator is as follows:

Step 1: Making a table of values allows you to graph a line using a slope-intercept form equation.

Step 2: To determine the coordinate point's corresponding y-values.

Step 3: Choose a few x values and enter those values into the equation.

Step 4: Create a graph and plot the points.

To draw the line, join the points together.

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How can I learn 5 tables easily?

Answers

"Complete table of 5" refers to a multiplication table containing all products of the number 5 multiplied by integers from 1 up to a specified maximum value.

Write a complete table of 5.

Here is an example of 5 complete tables:

5x1=5

5x2=10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

5 x 6 = 30

5 x 7 = 35

5x8=40

5 x 9 = 45

5 x 10 = 50

In this example, the maximum multiplier value is 10, but a full table of 5 can continue with any number of rows. This table will help you remember the facts about multiplication by 5 and identify patterns for multiples of 5.

Note that if you're looking for a way to compute the product, you can use a loop or function that takes the maximum value of the multiplier as input and outputs the full table of 5.

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What is the following quotient?
√96/√ 8
O 2√3
O 4
O 2√√22
O 12

Answers

The correct answer is the first one: 2sqrt3

What is the opposite of the opposite of point D?

Answers

In Number line, -4  is the opposite of the opposite of point D.

What does a math number line mean?

Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals. A number line can be used to represent every number in a sequence. Both endpoints of this line continue indefinitely.

                         The terms "number line" and "number grid" both refer to horizontal straight lines with numbers arranged along them at equal intervals. Some will have a defined beginning and end.

 Value of D = 4

   Opposite of point D = -4

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The distances between some planets are given below.
Planet Q
Planet Q is 3.5 × 10° km from planet P.
Planet R is 1.2 × 10? km from planet P.

Answers

The shortest distance between planet Q and planet R is 1.64 * 10⁷ km

What is an equation?

An equation is an expression that shows the relationship between variables and numbers.

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given as:

hypotenuse² = adjacent² + opposite²

From the diagram, QR is the shortest distance between planet Q and planet R. Hence using Pythagoras:

QR² = QP² + PR²

QR² = (3.6 * 10⁶)² + (1.6 * 10⁷)²

QR = 1.64 * 10⁷ km

The shortest distance is 1.64 * 10⁷ km

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A right triangle has coordinates A (4,6) , B (4, 12) and C (8, 6) . Write the coordinates of the triangle after a dilation of 12 .

Answers

The coordinates of the triangle after dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

What is Dilation?

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Assume that the dilation is about the origin.

When a point (x, y) is dilated with k, then new coordinates are (kx, ky).

A(4, 6) after dilation become (4 × 12, 6 × 12) = A'(48, 72)

B(4, 12) after dilation become (4 × 12, 12 × 12) = B'(48, 144)

C(8, 6) after dilation become (8 × 12, 6 × 12) = C'(96, 72)

Hence the coordinates after undergone dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

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Find the 10th term in this
quadratic sequence.
2n² + 3
A.5
B.43
C. 105
D. 203

Answers

Answer:

D

Step-by-step explanation:

to find the 10th term substitute n = 10 into the rule, that is

2(10)² + 3

= 2(100) + 3

= 200 + 3

= 203

the 10th term is 203

The hide is in de flour

Find Dy/Dx By Implicit Differentiation. x/y +y/x = 3y

Answers

The derivative of y with respect to x (Dy/Dx) can be found by using implicit differentiation and is equal to (x/y)(Dx/Dx) / (3y - x - y).

The given equation is x/y + y/x = 3y.

To find the derivative of y with respect to x (Dy/Dx), we will use implicit differentiation.

First, we will take the derivative of both sides of the equation with respect to x:

(1/y) * (Dy/Dx) + (1/x) * (Dy/Dx) + (y/x^2) * (Dx/Dx) = (3)(Dy/Dx)

We can simplify this expression by combining the terms with Dy/Dx and Dx/Dx:

(Dy/Dx)(1/y + 1/x + 3) = (y/x^2)(Dx/Dx)

Now we can solve for Dy/Dx by rearranging the equation:

Dy/Dx = (y/x^2)(Dx/Dx) / (1/y + 1/x + 3)

Finally, we can plug in our known values and solve for Dy/Dx:

Dy/Dx = (x/y)(Dx/Dx) / (3y - x - y)

Therefore, the derivative of y with respect to x (Dy/Dx) can be found by using implicit differentiation and is equal to (x/y)(Dx/Dx) / (3y - x - y).

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expand and simplify (x+9) (x+3) ​

Answers

The expression (x+9) (x+3) ​in the simplified expanded form will be x² + 12x + 27.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (x+9) (x+3) ​

Simplify the expression, then we have

⇒ (x+9) (x+3) ​

⇒ x (x+3) ​+ 9(x+3) ​

⇒ x² + 3x + 9x + 27

⇒ x² + 12x + 27

The expression (x+9) (x+3) ​in the simplified expanded form will be x² + 12x + 27.

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1 yard in 6 minutes only correct answers

Answers

Answer: Depending on you mean I have answers for them so I hope one of them is for what your looking for.

A distance of 1 yard covered in 6 minutes, which would indicate a speed of 1 yard/6 minutes, or 0.17 yards per minute.

A measurement of time, with the duration of an event or task being 6 minutes and the quantity or amount being 1 yard.

A quantity that is spread out over a period of 6 minutes, such as 1 yard of fabric or 1 yard of pipe being produced every 6 minutes.

A reference to a specific sport or activity, such as a football team gaining 1 yard in 6 minutes of play.

Answer:

(Rounded. Exact DP: 16) -- 0.166...7 yards/minute

Step-by-step explanation:

Use the speed formula:

[tex]s = \frac{d}{t}[/tex]

The runner travelled 1 yard in 6  minutes.

[tex]s = \frac{1\:yard}{6\:minutes}\\s = 0.166...7[/tex]

Hope this helps!

I need help with these questions. Please help.

Answers

1- 12x2 = 24
2- 5x √3= 5√3

A train will travel 300300300 kilometer at a contant rate. 1. Write an equation that repreent the train' rate in kilometer per hour (rrr) baed on how many hour the trip take (ttt)

Answers

The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

Define Speed :

This is defined as the ratio of distance to time taken usually in kilometers per hour, miles per hour.

The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

How to write equation

Distance Saul biked = 300 kilometers

Number of hours it takes train travel = t

Speed of train travel (kilometers per hour) = r

Speed = Total distance travelled / Time taken

r = 300 / t

Equation that represents how many hours

Make t the subject of formula

r = 300 / t

cross product

r × t = 300

t = 300/r

Therefore,

The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

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Anothony says that the expression abc has three terms because it uses three different variables. Critique Anothony's reasoning and explain whether he is correct.

Answers

According to the mathematical notations, we can say that in this case, Antonhy's reasoning is incorrect, because the expression abc is only one term and not three as he stated.

What are the terms of an expression?

It corresponds to a term that has letters and numbers, which are separated only if there is a mathematical sign between them, such as the plus or multiplication sign, for example, to be an expression of three terms, the expression should be like this:

a x b x c

Therefore, we can consider that the term abc corresponds to a monomial, as it is only one term in an expression, and not three as supposed by Anthony.

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help help helpppppppp

Answers

Answer: 6

Step-by-step explanation: you subtract the one time fee($16) from the 100 then divide the rest by the cost of a one month membership($14)

At Laura's summer camp, there were 200 boys and 16 counselors. At this rate, how many boys should be at camp with 20 counselors?

Answers

The number of boys who should be at camp with 20 counselors will be 250 boys.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

At Laura's summer camp, there were 200 boys and 16 counselors. Then the rate is given as,

Rate = 200 / 16

Rate = 12.5 boys per counselor

At this rate, the number of boys should be at camp with 20 counselors will be given as,

⇒ 12.5 x 20

⇒ 250 boys

The number of boys is 250 boys.

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a box as a volume of 3/4 inches long 1/2 inches wide and 1/4 inches high

Answers

I think the answer is 3/32 cubic inches

Determine whether each function is linear. write yes or no. explain.



can someone please help me with this question?

Answers

Answer:

yes, it is linear

Step-by-step explanation:

the x is +3 to each one, and the y is -1 to each one, this keeps it linear

Carey's extreme sports is an ecommerce store specializing in selling extreme sports products.

The products include equipment, apparel, and other items related to extreme sports. Founded in 2015 in Arizona, US, the company has grown from a high-end sports gear equipment company into a national extreme sports brand with operations in 50 States and close to 1000 employees working for the company. The world of Carey's Extreme has traditionally conjured up images of inclusivity, sophistication, and elegance, attracting both wealthy and not-so-wealthy crowds, including college students.

Answers

Based on the Pareto analysis, the set of brands which contributes most to the profit , i.e., about 80% is Adidas , Hyperlite ,mongoose , Schwinn and aquaronotman.

Pareto analysis is based on the idea that 80% of a project's benefit can be achieved by doing 20% of the work . In bigger business firms it is taken as a powerful tool for quality maintenance and decision-making .We can say that ,it is a method used for getting the required facts and information needed for setting priorities.

Thus , we can say that it is a technique used in business decision-making, but it also be used in welfare economics . It is based on the "80-20 rule." Pareto analysis, as a decision-making technique, statistically distinguishes a small number of input factors , either good or undesirable that have the largest impact on an output.

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Find the missing values so that the area of the product is equal to the
area of its sum.

Answers

(2x+3y)(3y-3)=12x+3y-15

What are the properties of algebra?

Answers

The algebra properties are as follows: associative property , distributive property, identity property, inverse property.

As given in the question,

Properties of the algebra are as follow:

1. Associative property :

Let a, b, c be the three expressions

a. For addition:

( a + b ) + c = a + ( b + c )

b. For multiplication :

a × ( b × c ) = ( a × b ) × c

2. Distributive property:

Let a, b, c be the three expressions

For multiplication over addition:

a ( b + c ) = ab + ac

3. Identity property:

a. For addition:

a + 0 = a

b. for multiplication :

a × 1 = a

4. For inverse

For addition:

a + ( -a ) = 0

For multiplication:

a × ( 1 /a) = 1

Therefore, the four properties of the algebra are associative property , distributive property, identity property, inverse property.

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which of the following accurately describe the prognosis for children diagnosed with autism spectrum disorder? what function do you use to save an object utilizing the pickle module? the first and perhaps foremost role of interest groups in the electoral process is ______. What is the process by which firms creatively discover and exploit opportunitiees that are? to reduce the time and expense of collecting their accounts receivable, some firms What is your opinion about energy and the future? What should energy use look like in the year 2100? What types of energy should be used? What types of technology should be developed? Your answer must be at least ten sentences long. Audit OpinionThe following items were noted during the audit of FGH Company. Read each one and respond to the questions in the table below.FGH Company did not disclose a $200 petty cash checking account. It does not appear on their statements or in their note disclosures.FGH Company invested in a derivative during the year under audit. The details regarding the risk and uncertainty involved in this investment are not adequately disclosed in the financial statements. The amount of investment is considered material.FGH Company's attorney has refused to respond to the letter of inquiry, either in writing or orally. The Binomial Distribution is equivalent to which distribution when the # of experiments/observations equals 1? Select all that apply.Bernoulli Hypergeometric Negative Binomial Geometric Poisson A normal population has a mean of $95 and standard deviation of $14. You select random samples of 50. Requiled: a. Apply the central limat theorem to describe the sampling distribution of the sample mean with n=50. What condition is necessary to apply the central fimit theorem? given the cell potentials in the textbook, calculate the standard-cell potential in volts for the cell in the previous reaction. people in real life tend to ____ while characters in plays tend to ____. fill in the blank. in sql, a(n) ________ subquery is a type of subquery in which processing the inner query depends on data from the outer query. why is sand injected into the shale beds along with fracking fluid? Give an account of Aquinas' argument for the existence of a necessary being and an account of Aquinas' argument for the existence of the first efficient cause. Explain each of the following Aristollean claims: Everything that is moved is moved by another and it is not possible to proceed to infinity the artistic movement characterized by nonrepresentational forms and modern materials, such as plastic and electroplated material, is called __________. Can someone help me? Write a rule for nth term of the arithmetic sequence with a1=7 and the common difference is 3 What are the steps in recieving guest requests? when y is directly proportional to x. When x= 2.5, y=20. what is the value of y when x= 22? a new variable annuity product has recently been launched by your firm. the features offered by this product would be most appropriate for a customer who: How did world war 1 contribute t oeuropes economic weakness leading up to the great depression?