Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)

Write The Equation Of A Line In Point Slope Form That Passes Through The Points (-8,-3) And (2,2)

Answers

Answer 1

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

make me as brain liest


Related Questions

Jesse is driving to a town that is 210 miles away with a speed of 60 miles per hour. If he makes no stops, how long will the trip take?

Answers

Answer: The trip should take 3.5 hours.

Step-by-step explanation: To find the time, divide the distance by the rate. In this case, 210/60 = 3.5.

Answer:

3.5 hours or specifically, 3 hours and 30 minutes

Step-by-step explanation:

We know that the car can be driven 60 miles per hour. The goal is 210 miles. If you divide 210 miles by 60, the result is 3.5. The whole number 3 in 3.5 will represent the hours taken which means 3 hours. The 0.5 will also represent the minutes. 0.5 = 1/2, 1/2 of an hour = 30 minutes.

7 – 0.2n = -0.8n + 10
What value of n makes this equation true?
Please helpp

Answers

The answer to the equation is [tex]n=5[/tex]

First, you must add 0.8n on both sides.

[tex]0.6n+7=10[/tex]

Then, subtract 7 from both sides.

[tex]0.6n=3[/tex]

Finally, divide both sides by 0.6

[tex]n=5[/tex]

What is 3/4 ÷ 1/2 ?​

Answers

Answer: 3/4 divided by 1/2 is 1.5

20 points & will give brainliest

Find the distance between (5,8) and (3,-1)

Answers

Answer:

root 85

decimal 9.21

slope 9/2

Step-by-step explanation:

didnt know which one you wanted fully

Susan's grandpa was fibbing again: "your grandma and I, together, we are over 150

years old!" If her grandpa is 71, and her grandma is 68, what's the real sum of their ages?

Answers

answer: 71 + 68 = 139
Answer:71.68

Easy as pie.

Just add em.

Making it.

71

+68

------

139

Meaning both of em are 139 years.

This also means they are not over 150.

Analyzing a Linear Function Expressed in Different Ways Choose the true statements. A linear function is expressed by a graph of a line that crosses both axes at the origin. An equation is written in slope-intercept form to express the same function as shown in the graph. From just this information, what statements can be made? A) The slope of the equation must be positive. B)The y-intercept of the equation is zero. C) It is possible that the line on the graph is horizontal. D) The slope of the equation must be negative.​

Answers

Answer: The answer is option B and option C.

Answer:

B and C

Step-by-step explanation:

Solve the literal equation xy - 4xz = 5 for x.

X=

Answers

Answer:

x = 5/(-4 z + y)

Step-by-step explanation:

Solve for x:

x y - 4 x z = 5

Hint: | Write the linear polynomial on the left-hand side in standard form.

Collect in terms of x:

x (-4 z + y) = 5

Hint: | Solve for x.

Divide both sides by -4 z + y:

Answer: x = 5/(-4 z + y)

Write the slope-intercept form of the equation of the line described by (−1, −1), parallel to y = −2x − 4

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

Slope intercept form of line is

y = mx + c

where

m is the slope and c is the y intercept

________________________________________

Given that line

y = −2x − 4

comparing it with y = mx + c

m = -2 and c = -4

Thus, slope of this line is -2

we also know that when two lines are parallel then their slopes are same

thus, slope of required line will be m = -2

___________________________________________

now let the equation of line passing through (-1,-1) be

y = mx + c

we have found m to be -2

using this in above equation we have

y = -2x + c

since (-1,-1) passes through the above line using x = -1 and y = -1

we have

-1 = -2*-1 + c

-1 = 2 + c

c = -1 - 2 = -3

using c = -3 in y = -2x + c

we have

equation of line as

y = -2x - 3 in slope intercept form.

Write each fraction as a percent. Use a model if needed. V-2
7/10

21/25

3/5

18/25​

Answers

7/10 = 70%
21/25 = 84%
3/5 = 60%
18/25 = 72%
7/10 is 70%
21/25 is 84%
3/5 is 60%
18/25 is 72%

I need help plz hurry

Answers

Answer:

a. 7

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

y - (x - z)

x = -4

y = 5

z = -2

Step 2: Substitute and Evaluate

5 - (-4 - (-2))

5 - (-4 + 2)

5 - (-2)

5 + 2

7

Answer:

A. 7

Step-by-step explanation:

Plug in the values of x, y, and z: 5 - (-4 - -2)Simplify: 5 - (-4 + 2)-4 + 2 = -2Plug -2 in: 5 - (-2)Simplify: 5 + 25 + 2 = 7

I hope this helps!

divide 25.84 divide by 4

Answers

i believe it is 6.46

Answer:

25.84 divide by 4 Is 6.46.

can i plz plz get some help with this

Answers

Answer: -2/6 or -1/3

The base of a triangle is 12 inches greater than the height. If the area is 80 square inches, find the length of the base
PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Because the area of a triangle you have to divide by 2 and then you get the area right so we multiply 80 x 2 = 160 is the area of the square which you divide by 2 but we are not going to do that. now we have to get 2 lengths with 12 difference so we have to just do trial and error method.

When you reverse the digits in a certain two-digit number you decrease its value by 45. What is the number if the sum of its digits is 9?

Answers

Answer:

72

Step-by-step explanation:

x+y=9 possible numbers

1 and 8

2 and 7

3 and 6

4 and 5

9 and 0

so

81-18=63

72-27=45 so this is the right number

63-36=27

54-45=9

90-9=81

The sign of the leading coefficient for the polynomial equation of the graph is negative positive zero

Answers

Answer:

The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE

Hope this helps!

Answer: 1 turning point

Step-by-step explanation:

Given f(x) = 5x + 1, find f(-3).
I need help ASAP

Answers

Answer:

take a look ...........

Write the rational number as a decimal -4 2/3

Answers

Answer:

- 4.(6)

Step-by-step explanation:

Hi there !

- 4  2/3 =

= - 4  6/9

= - 4.(6)

Good luck !

What is 715 divided by 25 and what is 514 divided by 28?

Plsss help I really need it for my HW

Answers

Answer:

715 divided by 25 is 28.6, while 514 divided by 28 is 18.35. Hope this helps!

Step-by-step explanation:

Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. How
much money did she have left after buying the DVD?

Answers

$30

Work: 45+20=65

          65-35=30

Find all complex solutions (real and non-real). (Enter your answers as a comma-separated list.) x3 8x2 21x 20

Answers

Answer:

The answer is "non-real solution: "i-3 and -i-3" and real solution is -2".

Step-by-step explanation:

In the given equation there is some mistype error so, its correct equation can be defined as follows:

Given value:

[tex]\bold{ f(x) = x^3+ 8x^2 +22x +20}[/tex]

use hit and trial method we put x value are -2:

 [tex]f(-2) = (-2)^3+ 8(-2)^2 +22(-2) +20\\\\[/tex]

            [tex]= -8 + 8 \times 4 +22 \times -2 +20\\\\= -8 + 32 -44 +20\\\\= -52 + 52\\\\=0[/tex]

So, the real solution to the equation is "-2".

In the above solution, we calculate the f(x) =-2 is its real solution. so, the calculation for non-real solution:

divide the value [tex]x^3+8x^2+ 22x +20[/tex] by ([tex]x+2[/tex]):

Quotient: [tex]x^2+6x+10[/tex]

Remainder: 0

[tex]\to x^2+6x+10 \\\\compare \ with \ ax^2+bx+c: \\\\a= 1\\b= 6\\c=10\\\\\bold{Formula:}\\\\\to D= b^2-4ac\\\\[/tex]

        [tex]= 6^2- 4 \times 1 \times 10\\\\ = 36- 40\\\\ = -4[/tex]

Formula for calculate non-real solution:

[tex]\bold{\frac{-b\pm \sqrt{D}}{2}}[/tex]

non-real solution: "i-3 and -i-3"

208+8x−718+2x SIMPLIFY PLEASE

Answers

926+10x

Explanation: Just add like variables

Answer:10x-510

Step-by-step explanation:

math

What is 11/9 as a decimal?

Answers

Answer:

1.2 (the 2 continuing on)

Step-by-step explanation:

Just divide the numerator by the denominator and you'll get your answer

14/18 in decimal form

Answers

24/18 in decimal form is 0.778

Answer:

.77

Step-by-step explanation:

the 7 is repeating so you can put a dash above the second 7

Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution. which amounts of each should be used ?

Answers

Answer:

x = amount of 100% acid solution (pure acid, no water)

y = amount of 10% acid solution (acid + water)

both amounts are in liters

Step-by-step explanation:

Fifteen more than three times a number is the same as ten less than six times
the number. What is the number?

Answers

Answer:

The number: x

Step-by-step explanation:

15+3x = 6x-10

3x = 25

Answer:

40

Step-by-step explanation:

15 + 3x = 6x - 10

15 + 10 = 6x - 3x

25 = 3x

25/3 = x

To check

15 + 3(25/3) = 6(25/3) - 10

15 + 25 = 50 - 10

40 = 40

-5(2x+9)? simplify the expressions by disturbing the negatives and combining like terms ​

Answers

the answer would be -10x-45

Answer:

-10x-45

Step-by-step explanation:

HELP ME PLEASE!!!!!!!!!
Which statement describes the system of equations?
5x-3y=34
x-2y=4

It has infinitely many solutions.
It has no solution.
It has one solution (24/13, -14/13)
It has one solution (8, 2).

Answers

Answer: It has one solution (8, 2).

Step-by-step explanation:

I put both equations in Desmos and the solution was (8,2)

Compare: -7 -4


PLEASE HELP ME!

Answers

-11? What do u mean compare

A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to a family's financial stress, the second or third one might not be as "expensive" since they would already be sharing one roof, could share clothing, etc. The researcher has access to a large community of parents where 15% have one child under 18 in their home, 65% of parents have two children, and 20% of parents have three or more children. Rounded to the nearest whole number, the probability that any given family who is selected has two or more children at home is ________ %?

Answers

Answer:

The probability that any given family who is selected has two or more children at home is 85%.

Step-by-step explanation:

The information provided is as follows:

Number of Children        Probability

             1                            0.15

             2                            0.65

          > 3                            0.20

Compute the probability that any given family who is selected has two or more children at home as follows:

P (At least 2 Children) = P (2 children) + P (More than 3 children)

                                   = 0.65 + 0.20

                                   = 0.85

Thus, the probability that any given family who is selected has two or more children at home is 85%.

A fast-food restaurant has a cost of production C(x)=12x+114 and a revenue function R(x)=6x. When does the company start to turn a profit?

Answers

Step-by-step explanation:

Given data

C(x)=12x+114

R(x)=6x.

The company will start to run on profit just when revenue equals the production cost, that is

C(x)=R(x)

equating the two expressions we have

12x+114=6x

solving for x we have

12x-6x+114=0

6x+114=0

6x=-114

x=-114/6

x=-19

Hence the company will start to run on proft when they start to produce above 19 items

Profit is the difference between the revenue and cost functions

A production greater than 19 will turn a profit

From the question, we have:

[tex]\mathbf{R(x) = 6x}[/tex]

[tex]\mathbf{C(x) = 12x + 114}[/tex]

So, the profit function is:

[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]

Substitute known values

[tex]\mathbf{P(x) = 6x - 12x - 114}\\[/tex]

[tex]\mathbf{P(x) = - 6x - 114}[/tex]

Equate to 0

[tex]\mathbf{- 6x - 114 = 0}[/tex]

Collect like terms

[tex]\mathbf{- 6x= 114}[/tex]

Divide both sides by -6

[tex]\mathbf{x= -19}[/tex]

The above equation means that: A production greater than 19 will turn a profit

Read more about profit functions at:

https://brainly.com/question/16866047

Other Questions
Which characteristic of life is the car missing that leads someone to conclude it is not alive? Please answer in complete sentences Imagery appeals to which of these? Select five responses.sightMoodsoundsuspensetouchtoneI tasteI smell You flip a coin. What is p(heads)? Write your answer as a percentage rounded to the nearest tenth Historically, 79% of credit card users carry a balance from month-to-month. A certain credit card company would like to study the spending patterns of its cardholders in more detail and to start the analysis, takes a random sample of 142 cardholders. What is the probability more than 75% of these cardholders are carrying a balance? (Use 4 decimals.) HEY CAN ANYONE PLS ANSWER THESE QUESTION!!!!! Which statement accurately describes impulse?State corrrect ans HELP!! URGENT ASAP!! WILL GIVE BRAINLIEST TO FASTEST ANSWER!! Who is the speaker in this story? What is he being told? The speaker is a black man. He's being told that he can't get a room at a hotel because he's black. Why is he being told all this? He was also being told that he's dirty because "all n*ggers are dirty". 3.What kind of a conversation was this? Was an internal or an external conflict? The conversation was external social conflict. What won't they let the black man do in the restaurant or the hotel . Why and what reason? There was a black man and in the restetnut and they wouldn't let him eat there and at the hotel he wasn't allowed to sleep there because he was black The red-tailed tropic bird, Phaethon rubricauda, is an extremely rare sea bird that nests on several islands of the Queensland coast of Australia. As part of a conservation e ort to manage these endangered birds, every nesting pair was measured and weighed. Below are the body weights of these birds (in kg). Female 2.45 2.57 2.81 2.37 2.01 2.50 2.32 Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84 Required:a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units. b. Determine the mean, variance, and standard deviation for the male weights. CAN SOMEONE HELP ME ? Please help me fill this out. Which of the following statements is true?Under the Articles of Confederation the states had very little power and the central government had a great deal of power.Under the Articles of Confederation the states and the central government had an equal amount of power.Under the Articles of Confederation the states had significant amounts of power while the central government had very little power.None of the above statements is true. Will give brainlist Which body of water is to the south of North America?Gulf of MexicoPacific OceanAtlantic OceanArctic Ocean 4. What generalization about peoples might healthcare workers make? How would that affect the care that people receive? During the day, the earth is heated up by the sun. The land gets hotter than the sea because it takes less energy to increase the land's temperature than to increase the sea's temperature. The land heats the air near it. This air rises and is replaced by cool air from the ocean, creating a "sea" breeze that blows from the ocean to the land during the day. Which forms of heat transfer are described above as helping to create a sea breeze? A. convection only B. radiation only C. convection and conduction D. conduction and radiation 12. If a family is chosen at random from the set of all families with exactly three children, find the probabilitythat: (2Marks)a) the family has three boys if it is known that one child is a boy.b) the family has three boys if it is known that the first child is a boy. which statement about the grieving process is true Whats 9+10, will give brainliest for the Awnser Im looking for WILL AWARD BONUS POINTS FOR A GOOD ANSWER! URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height? One box of pencils costs rupees 28 . What is the cost of 509 boxes