The answer is D.
First, the equation to find the perpendicular line to a given line is [tex] m_{2} = \frac{-1}{m_{1}} [/tex], where [tex]m_{2} [/tex] is the m value of the equation of the second line and [tex]m_{1} [/tex] is the m value of the equation of the first line.
Using this, we can find the slope of the equation of the perpendicular line:
[tex]m_{2} [/tex] = -1/(1/4)= -4
So now our options are slimmed down to C and D. We can tell which equation is correct by substituting the given coordinates
C: -6+2≠-4(-2+6), so this option is eliminated
D: -6+6=-4(-2+2), so this is our answer as both sides equal 0
