Question

line ( l ) has a slope of ( -\frac{1}{2} ), the segments must have an opposite - reciprocal slope of ____.

Explanation:

Step1: Determine the formula for the opposite - reciprocal

The formula for finding the opposite - reciprocal of a number \(m\) is \(-\frac{1}{m}\).

Step2: Substitute the given slope into the formula

Given \(m =-\frac{1}{2}\), substitute it into \(-\frac{1}{m}\).

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

Answer:

\(2\)