Lines p and q are perpendicular. If the slope of line p is 2, what is the slope of line q? A. B. - C. -2 D. 2

Question

asked Aug 15, 2017 233k views

2 Answers

Anton Dementiev · Answer 1 · 2017-08-16T20:51:22+0000

If the slope of one line is 2, and the other line is perpendicular, the other line's slope is the negative reciprocal of 2, or -1/2 :)

Kerrion · Answer 2 · 2017-08-19T02:32:57+0000

For this case we define the following variables:

By definition, since the lines are perpendicular, it follows that:

mp * mq = -1

Substituting values we have:

2 * mq = -1

From here, we clear the value of the slope of the line q:

$mq = - \frac {1} {2}$

Answer:

The slope of line is:

$mq = - \frac {1} {2}$