In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
graph:
point 1 (-8, 3) x1 = -8 y1 = 3
point 2 (0, -5) x2 = 0 y2 = -5
Step 02:
equation of the line:
slope:
[tex]\text{slope = }\frac{y2-y1}{x2-x1}=\frac{-5-3}{0-(-8)}=\frac{-8}{8}=-1[/tex]
(y - y1) = m (x - x1)
(y - 3) = -1 (x - (-8))
y - 3 = -x - 8
y = -x - 8 + 3
y = -x - 5
The answer is:
y = -x - 5
