Answer
$y=-x-2$
Work Step by Step
The given graph of a line passes through the points $(
0,-2
)$ and $(
-3,1
).$ Using $y-y_1=\dfrac{y_1-y_2}{x_1-x_2}(x-x_1)$ or the two-point form of linear equations, then the equation of the line is
\begin{array}{l}\require{cancel}
y-(-2)=\dfrac{-2-1}{0-(-3)}(x-0)
\\\\
y+2=\dfrac{-2-1}{0+3}(x)
\\\\
y+2=\dfrac{-3}{3}x
\\\\
y+2=-1x
\\\\
y=-x-2
.\end{array}
