Question

What is the slope of the line perpendicular to `y=-3x-7`?

Answer 1

`m_2 = +1/3`

Explanation:

In `y = color(red)(-3)x - 7`, the slope is `color(red)(-3).`

If two lines are perpendicular, then the one slope is the negative reciprocal of the other. `m_1 xx m_2 = -1`

(In easy language, turn the slope upside down and change the sign)

So if `m_1 = -3/1, " "`then `m_2 = +1/3`