Answer
$2y=-7x-31$
Work Step by Step
To find an equation of a line with slope $m=-\frac{7}{2}$ that passes through $(-3,-5)$,
we use formula $y=mx+b$.
We plug in the values of $m$, $y$, and $x$ to solve for $b$: $-5=-\frac{7}{2}(-3)+b$.
Solve for $b$:
$b+\frac{21}{2}=-5$
$b=-\frac{31}{2}$.
Plug the values of $m$ and $b$ into the formula to get the equation of the line: $y=-\frac{7}{2}x-\frac{31}{2}$.
Multiply by 2 on both sides to simplify: $2y=-7x-31$.
