Question

What line is perpendicular to the line y=-1/2x-2?

Answer 1

$y=mx+b$ -- the equation of line.

In our case $m=-\frac{1}{2}, b=2$

Let $y=m_1x+b_1$ be the equation of perpendicular line.

Perpendicular line must have a slope that is the negative reciprocal of the original slope.

So $m_1=-\frac{1}{m}=2$

$b_1$ can be any real number.

So $y=2x+b_1$ is the equation of perpendicular line, where $b_1$ can be any real number.