Answer:
y = [tex]\frac{-3}{2}x[/tex] + 2
Step-by-step explanation:
First, we have to calculate the slope which is; [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]
Slope = [tex]\frac{-1-5}{2-(-2)}[/tex] = [tex]\frac{-6}{4} = \frac{-3}{2}[/tex]
The slope is [tex]\frac{-3}{2}[/tex]
So now we have to calculate the y-intercept which is; [tex]y-y_{1}=m(x-x_{1} )[/tex]
y - (-1) = [tex]\frac{-3}{2}[/tex](x - 2) = y + 1 = [tex]\frac{-3}{2}x[/tex] + 3
Now, subtract 1 from both sides;
y = [tex]\frac{-3}{2}x[/tex] + 2
