Question 632371
<pre>
You need three formulas

1. Slope formula
m = {{{(y[2]-y[1])/(x[2]-x[1])}}} with (x<sub>1</sub>, y<sub>1</sub>) = (-8,2) and (x<sub>2</sub>, y<sub>2</sub>) = (-5,-13)

m = {{{((-13)-(2))/((-5)-(-8))}}}

m = {{{(-13-2)/(-5+8)}}}

m = {{{(-15)/3}}}

m = -5 

2. Point-slope formula:
y - y<sub>1</sub> = m(x - x<sub>1</sub>)
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</pre>