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