Answer
Neither
Work Step by Step
We are given the lines
$y=-9x+3$
$y=\frac{3}{2}x-7$
These lines are written in the slope-intercept form $y=mx+b$ (where m is the slope of the line, and the point $(0,b)$ is the y-intercept). These lines both different slopes, so they cannot be parallel. We can check if these lines are perpendicular by seeing if the product of their slopes equals -1.
$-9\times\frac{3}{2}=-\frac{27}{2}\ne-1$
Therefore, these lines are neither parallel or perpendicular.