Answer
$(-2,1)$
Work Step by Step
Please see the screenshot of the tables for the two equations.
Purple line: $y=2x+5$
Green line: $y=-x-1$
If we replace $x$ and $y$ with $-2$ and $1$, respectively, for the purple line, we have
$y=2x+5$
$1=2*(-2)+5$
$1=-4+5$ (true)
For the green line:
$y=-x-1$
$1=-(-2)-1$
$1=2-1$ (true)
Purple line: $m=2$, y-intercept of 5
Green line: $m=-1$, y-intercept of -1