Answer
$y=-\dfrac{7}{2}x-7$
Work Step by Step
Using $y-y_1=\dfrac{y_1-y_2}{x_1-x_2}(x-x_1)$ or the Two-Point Form, then the equation of the line passing through the given points, $(
-2,0
)\text{ and }(
0,-7
)$, is
\begin{array}{l}
y-0=\dfrac{0-(-7)}{-2-0}(x-(-2))
\\\\
y=\dfrac{0+7}{-2}(x+2)
\\\\
y=-\dfrac{7}{2}(x+2)
\\\\
y=-\dfrac{7}{2}x-7
.\end{array}
