Question

Find the equation of the line through the point (–2, –2) that is perpendicular to the line y = 2x – 1.

Answer 1

Ok, so first, what constitutes a perpendicular line? The slope has the to be the inverse of the line, given, right?

Answer 2

So what would the inverse of 2x as a slope be ?

Answer 3

It would be -1/2 right? We basically take 2/1 and flip it over, and then change the sign. So this one is a complete inverse. For the point it runs through, we can use point slope formula:
(y+2)=-1/2(x+2)

Answer 4

From there, you can leave the line in that form, or simplify for y=mx+b

Answer 5

I hope that helps!