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}
