Question

What is the slope of a line that is perpendicular to a slope of 1/3?

Answer 1

The slope of a line perpendicular to one with the slope of `1/3` is `-3`. See explanation.

Explanation:

If two lines are perpendicular, then the product of their slopes equals to `-1`. So if one of the slopes is `1/3`, then we can calculate the second slope using the formula:

`m_1xxm_2=-1`

Here we have:

`1/3xxm_2=-1`

`m_2=-3`