SOLUTION: Find an equation of the line containing the points (-8,2) and (-5,-13). Express your answer in slop-intercept form.

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Question 632371: Find an equation of the line containing the points (-8,2) and (-5,-13). Express your answer in slop-intercept form.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
You need three formulas

1. Slope formula
m = %28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 with (x1, y1) = (-8,2) and (x2, y2) = (-5,-13)

m = %28%28-13%29-%282%29%29%2F%28%28-5%29-%28-8%29%29

m = %28-13-2%29%2F%28-5%2B8%29

m = %28-15%29%2F3

m = -5 

2. Point-slope formula:
y - y1 = m(x - x1)
y - 2 = -5(x - (-8) )
y - 2 = -5(x + 8)

3. Slope-intercept form:
y = mx + b

We have to get this equation

y - 2 = -5(x + 8)  in that form, which means to solve it for y.
y - 2 = -5x - 40
    y = -5x - 38

Edwin