Slope intercept form

Question

Write an equation for the line that passes through (2,-8) and (-3,2) IN SLOPE intercept form

Answer 1

Hello, Stephanie,

Slope intercept form is y = mx + b, where m is the slope and b is the y intercept (the value of y when x=0).

The slope is the rise over the run (the change in y as x is changed) The two given points can be used to calculate the slope.

(2,-8) and (-3,2)

Rise = 2-(-8) = 10

Run = -3 -2 = -5

Slope = Rise/Run = 10/-5 = -2

We thus have y = -2x + b

To find b, use one of the points and solve for b:

y = -2x + b Let's use (2,-8)

-8 = -2*2 + b

b = - 4

The equation becomes y = -2x - 4

I hope this helps,

Bob

Answer 2

slope intercept form: y = mx + b. Need to determine slope (m) and y-intercept b.

slope = (2--8)/(-3-2) = 10/-5 = -2

so y = -2x + b

since passes through (2,-8), substitute those coordinates for x,y in above equation to solve for b:

-8 = -2(2) + b

-4 = b

so y = -2x + -4