Question

How do you find the slope of the line perpendicular to a line with slope -1/2?

Answer 1

See a solution process below:

Explanation:

Let's call the slope of a perpendicular line: `color(blue)(m_p)`

The slope of a line perpendicular to a line with slope `color(red)(m)` is the negative inverse, or:

`color(blue)(m_p) = -1/color(red)(m)`

Substituting the slope for the line in the problem gives:

`color(blue)(m_p) = (-1)/color(red)(-1/2) = 2`