What is the slope-intercept form of the equation of the line that passes through the points (2,7) and (4, - 1)?

y = -4x + 15

Step-by-step explanation:

Slope-intercept form is y = mx + b

m = slope ()

b = y-intercept (where the line crosses the y-axis)

It doesn't matter which coordinate pair you use for (x₁,y₁).

(x₁,y₁) = (2,7)

(x₂,y₂) = (4,-1)

  Simplify

  Simplify

-4 = your slope (m)

To get this information into slope-intercept form, you have to plug it into point-slope form, y - y₁ = m(x - x₁). It doesn't matter which coordinate pair you use for (x₁,y₁).

y - y₁ = m(x - x₁)   Let's use (2,7) since it doesn't have negatives.

y - 7 = -4 (x - 2)   Distribute

y - 7 = -4x + 8   Add 7 to both sides

y = -4x + 15

Check your answer by plugging both coordinate pairs in.

y = -4x + 15

7 = -4(2) + 15

7 = -8 + 15

7 = 7

and

-1 = -4(4) + 15

-1 = -16 + 15

-1 = -1

y = -4x + 15

Step-by-step explanation:

m = -y₁ + y₂\-x₁ + x₂

Find the Rate of change [Slope] using the above formula:

-7 - 1\-2 + 4 = -4

Next, we use the Point-Slope Formula [y - y₁ = m(x - x₁)] to convert to Slope-Intercept Formula [y = mx + b]:

y + 1 = -4[x - 4]

y + 1 = -4x + 16

- 1 - 1

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answer: hi

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is