Answer
The point slope form is $y-5=-2(x+2)$.
Work Step by Step
The given points are
$(x_1,y_1)=(-2,5)$ and $(x_2,y_2)=(1,-1)$
Slope
$\Rightarrow m =\frac{y_2-y_1}{x_2-x_1}$
Substitute all the values.
$\Rightarrow m =\frac{-1-5}{1-(-2)}$
Simplify.
$\Rightarrow m =\frac{-1-5}{1+2}$
$\Rightarrow m =\frac{-6}{3}$
$\Rightarrow m =-2$
The point-slope form.
$\Rightarrow y-y_1=m(x-x_1)$
Substitute all the values.
$\Rightarrow y-(5)=-2(x-(-2))$
Simplify.
$\Rightarrow y-5=-2(x+2)$
Hence, the point slope form is $y-5=-2(x+2)$.
