Answer:
D
Step-by-step explanation:
To find the slope of the line perpendicular, you take the reciprocal of the slope of the first line and multiply by -1. So a line with slope [tex]\frac{1}{2}[/tex] is perpendicular to a line with slope -[tex]\frac{2}{1}[/tex].
In your case, the slope of the line perpendicular is going to be [tex]-\frac{5}{2}[/tex]. So yoo know your equation will look like y=[tex]-\frac{5}{2}[/tex]x+b. To solve for b, plug in the x and y-coordinates:
[tex]-2=-\frac{5}{2}(2)+b[/tex]
b=3
So your final answer is y=[tex]\bold{-\frac{5}{2}}[/tex]x+3. Answer D is correct.
