First, we need to find the slope.
m = [tex] \frac{ x_{2} - x_{1} }{ y_{2} - y_{1} } [/tex]
m = [tex] \frac{2-(-2)}{3-5} [/tex]
m = [tex] \frac{4}{-2} [/tex]
m = -2
Next, write the standard line equation:
y = mx + b
Now fill in what you know (pick a coordinate point, it does not matter):
5 = -2(2) + b
Simplify to solve for b:
5 = -4 + b
+4 +4
9 = b
Rewrite the equation:
y = -2x + 9
