Answer
$y = -\frac{7}{2}x - \frac{31}{2}$
Work Step by Step
We are told to find the equation of the line that satisfies the following conditions:
Passes through the point $(-3,-5)$, and has a slope of $-\frac72$,
To find the equation of the line we use point slope form: $y−y_1=m(x−x_1)$
$x_1=-3$
$y_1=-5$
$m=-\frac72$
$y− (-5)=-\frac72(x− (-3))$
$y=-\frac72x−\frac{21}2-5$
$y = -\frac{7}{2}x - \frac{31}{2}$
