Answer
$y=-2x-4$
Work Step by Step
You are given $(-3,2)$ and a perpendicular equation of $y=\dfrac{1}{2}x-\dfrac{7}{2}$ when put in standard form.
Since the lines are perpendicular, the slope of the new equation is an opposite reciprocal so the slope $\dfrac{1}{2}$ would become $-2$.
Plug in the points to find B:
$y=-2x+b$
$2=-2(3)+b$
$2=6+b$
$b=-4$
The new equation is $y=-2x-4$
