Answer:
A.) [tex]y=5[/tex]
Step-by-step explanation:
First you have to find the slope from your given points. To find this, you use the formula,
[tex]\frac{y2-y1}{x2-x1}[/tex]
if you plug the given points into this you get
[tex]\frac{-6}{0}[/tex]
Since you can't divide by zero, your slope is undefined.
Now you can use the point slope formula to solve.
[tex]y-y1=m(x-x1)[/tex]
So in this case, your slope will be opposite since it is perpendicular. The opposite of undefined is 0, so your slope is 0.
[tex]y-5=0(x+1)[/tex]
[tex]y-5=0[/tex]
[tex]y=5[/tex]
So your answer is y=5