Answer
$(-1,-2)$
Work Step by Step
Please see the screenshot of the tables for the two equations.
Green line: $y=-3x-5$
Purple line: $y=x-1$
If we replace $x$ and $y$ with $-1$ and $-2$, respectively, for the green line, we have
$y=-3x-5$
$-2=-3*(-1)-5$
$-2=3-5$ (true)
For the purple line:
$y=x-1$
$-2=-1-1$
$-2=-2$ (true)
Green line: $m=-3$, y-intercept is -5
Purple line: $m=1$, y-intercept is -1