Answer:
y = 3x + 19
Step-by-step explanation:
1) Compute the slope (Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex])
m = [tex]\frac{10 - (-5)}{-3-(-8)}[/tex]
2) Refine
m = 3
3) Plug the slope (3) into y = mx + b
y = 3x + b
4) Plug in (-8,-5), x = -8, y = -5
-5 = 3(-8) + b
5) Isolate b
b = 19
6) Construct the line equation y = mx + b
y = 3x + 19