What is the equation in slope-intercept form of the line that passes through the points (−12, −4) and (4, 8)?


A. y = −43 − 20
A. , y = −43 − 20

B. y = 43 − 12
B. , y = 43 − 12

C. y = −0.75 − 13
C. , y = −0.75 − 13

D. y = 0.75x +5
D. , y = 0.75x +5

Answers

Answer 1

Answer:

Choice D. [tex]y = 0.75\, x + 5[/tex].

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:

[tex]m[/tex] is the slope of the line, and[tex]b[/tex] is the [tex]y[/tex]-intercept of the line. (The [tex]y\![/tex]-intercept of a line in a cartesian plane is the [tex]y\!\![/tex]-coordinate of the point where the line intersects the [tex]\! y \![/tex]-axis.)

Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:

The "rise" is the [tex]y[/tex]-coordinate of the first point minus that of the second: [tex]\text{rise} = (-4) - 8 = -12[/tex].The "run" is the [tex]x[/tex]-coordinate of the first point minus that of the second. The order of these two points should stay the same: [tex]\text{run} = (-12) - 4 = -16[/tex].

Calculate the slope of this line:

[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].

The equation of the line becomes:

[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].

Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:

[tex]x = -12[/tex], and[tex]y = -4[/tex].

The equation becomes:

[tex]-4 = 0.75 \times (-12) + b[/tex].

Solve for the value of [tex]b[/tex]:

[tex]b = 5[/tex].

Hence, the slope-intercept form of this line shall be:

[tex]y = 0.75\, x + 5[/tex].


Related Questions

n= 9c-80 solve for c. if n= 19 what is the value of c?

Answers

Answer:

Step-by-step explanation:

n = 9c - 80

n = 19

19 = 9c - 80

-9c = -80 - 19

-9c = -99

c = 99 / 9

c = 11

Hope this helps

plz mark as brainliest!!!!!!

if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?

Answers

Step-by-step explanation:

In 1/10 of 1hr = 1/2 mile

10*(1/10) of 1hr = 10(1/2) mile

(10/10) of 1hr = (10/2) mile

1 of 1hr = 5mile

It says, he can run 5 miles in 1 hour

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x^2 = 4 py

where p<0

Step-by-step explanation:

I think this is it but I am not sure

How much money will it cost to buy the paint? Show all work

Answers

Answer:

Step-by-step explanation:

Circle:

diameter = 30 ft

r = 30/2 = 15 ft

Area = πr²

         = 3.14 * 15*15

         = 706.50 square feet

Triangle:

base (b) = 30 ft

height (h) = 20 ft

Area = [tex]\frac{1}{2}bh[/tex]

        [tex]=\frac{1}{2}*30*20\\\\=30*10[/tex]

       = 300 square feet

Area of four triangles  = 4 * 300

                                    = 1200  square feet

Area to be painted blue = area of circle + area of 4 triangles

                                        = 706.50 + 1200

                                        = 1906.50 square feet

Area painted by one bucket blue paint  = 350 sq. feet

Number of paint buckets needed = 1906.50 ÷ 350

                                                       = 5.44

                                                       = 6

6 buckets of blue paint is needed.

Cost of 6 buckets of blue paint = 85.50 * 6

                                                    = $ 513

Each part of the design needs two coats.

So Cost for  two coats = 2 * 513

                                     = $ 1026

Square:

Side  =  40 ft

Area of square = side *side

                         = 40*40

                         = 1600 sq. ft

Area of square to be painted yellow = area of square - area of circle

                                                           = 1600 - 706.50

                                                          = 893.50 sq.ft

Area painted with  one bucket of yellow paint = 250 sq. ft

Number of yellow paint buckets needed = 893.50 ÷ 250

                                                                    = 3.574

                                                                    = 4

4 buckets of yellow bucket is needed

Cost of 4 buckets of yellow bucket = 64.50 * 4

                                                          = $ 258

Each part of the design needs two coats.

So Cost for  two coats = 2 * 258

                                     = $ 516

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Answers

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Answers

Answer:

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Step-by-step explanation:

(^_^)(^_^)(^_^)

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A Yes B No
8,793 ÷ 42 is 209 r15
A Yes B No
1,272 ÷ 24 is 52
A Yes B No

Answers

Answer:

Step-by-step explanation:

5,212 ÷ 17 is 306 r10

A Yes B No

8,793 ÷ 8,793 is 209 r15

A Yes B No

1,272 ÷ 24 is 52

A Yes B No

The price of a stock in a company drops $27 every hour. What integer represents
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Answers

Answer:

2.25 and 11.25

Step-by-step explanation:

27/12=2.25 twelve is the number of hours and 27 is the total drop in price

2.25*5=11.25 because 2.25 is the drop per hour you want to multiple that by five hours.

Fiecare dintre cei 180 de elevi ai unei școli vorbește cel puțin una dintre limbile germană și engleză . Dintre aceștia, 92 vorbesc limba germană și 130 vorbesc limba engleză. *
Numărul elevilor care vorbesc ambele limbi sunt in numar de
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(picture below shows how to solve it)

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Answers

Answer:

A histogram shows the frequencies of data in different intervals. So, you cannot read individual values off a histogram alone. With a detailed enough dot plot, you could get very close to the actual team payrolls for each league. A histogram does not give this precision.

Step-by-step explanation:

Plato sample answer

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Answers

Answer:

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Step-by-step explanation:

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80 pints fills 10 gallons

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Answers

Answer:

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Step-by-step explanation:

-4 is closer to 0 and -11 is further from xero making it it a less value than -4

-4
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Answers

Answer:

i= sqrt (-1)

If the power is

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-odd then the value could be -i or i

99 is odd so now is

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Step-by-step explanation:

Give the person brainliest

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Answers

Answer:

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Step-by-step explanation:

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    PLEASE MARK AS BRAINLIEST

2 QUESTIONS: 1. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent? (picture included) 2. Based on the diagram and congruent marks, what would be a correct congruence statement and the most likely reason the triangles might be congruent?

Answers

Answer:

Step-by-step explanation:

number one is SAS

1. B. ΔJKE ≅ ΔLYE because SAS.

2. E. No enough information to prove the triangles are congruent.

What is the SAS Theorem?

The SAS theorem is a triangle congruence theorem which states that two triangles which have two pairs of corresponding sides that are congruent and a pair of corresponding included angles that are congruent are congruent triangles.

1. Based on the SAS theorem we can conclude that: B. ΔJKE ≅ ΔLYE because SAS.

2. In the triangles given, we are only given that they have two pairs of corresponding congruent sides. No known congruent sides were given. Therefore, we don't have enough information. The answer is: E. No enough information to prove the triangles are congruent.

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Answers

Answer:

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Step-by-step explanation:

yes

Answer:

1.5

Step-by-step explanation:

First put like terms on one side:

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then make the demominators the same:

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add up the terms:

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Answers

Answer:

its line fjfjfjjejjdjdj

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What is a ray?

"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.

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"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."

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"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."

Given, a one dimensional object with no endpoint.

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Answers

Answer:

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Step-by-step explanation:

Arrange the steps to solve the equation V3+3-V23-1= -2.

-Simplify to obtain the final radical term on one side of the equation.

-Raise both sides of the equation to the power of 2.

-Apply the Zero Product Rule.

-Use the quadratic formula to find the values of x.

-Simplify to get a quadratic equation

-Raise both sides of the equation to the power of 2 again.

Answers

Answer:

1. Raise both sides of the equation to the power of 2.

2. Simplify to obtain the final radical term on one side of the equation.

3. Raise both sides of the equation to the power of 2 again.

4 . Simplify to get a quadratic equation.

5. Use the quadratic formula to find the values of x.

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Answers

hope it helps.........

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A. (x+4)(x-3)
B. (x-1)(3x-9)
C. (2x+4)(x+3)
D. (x-2) + (x+3)


ANSWER PLSSSSSSSSSSSSS, thanks.

Answers

Answer:

A. (x+4)(x-3)

Step-by-step explanation:

x+4=0 or x-3=0

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Answer:

Have a great rest of your day :)

Step-by-step explanation:

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Answers

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Step-by-step explanation: By checking the factors of both numbers, you see that 6 is their greatest common factor.

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42: 1, 2, 3, 6, 7, 14, 21, 42

Hope this helps!

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Answers

Answer:

b

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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