Answer
The graphs are perpendicular.
Work Step by Step
RECALL:
(1) In the slope-intercept form of a line's equation $y=mx+b$, $m$=slope and $b$ is the y-coordinate of the y-intercept.
(2) Perpendicular lines have slopes whose product is $-1$ (or negative reciprocals of each other).
Write both equations in slope-intercept form to obtain:
First Equation:
$y=-x+7$
Second Equation:
$y=x+3$
Note that equations have the slopes $1$ and $-1$, respectively.
Since $1 \cdot (-1) =-1$, then the graphs of the two equations are perpendicular lines.