Question

question 13 of 25
if \\( \overleftrightarrow{ab} \\) is parallel to \\( \overleftrightarrow{cd} \\) and the slope of \\( \overleftrightarrow{cd} \\) is -8, what is the slope of \\( \overleftrightarrow{ab}?

a. \\( -\frac{1}{8}

b. 8

c. -8

d. \\( \frac{1}{8}

Explanation:

Step1: Recall the property of parallel lines

Parallel lines have equal slopes. That is, if two lines are parallel, their slopes are the same.

Step2: Apply the property to the given lines

We know that \(\overleftrightarrow{AB}\) is parallel to \(\overleftrightarrow{CD}\) and the slope of \(\overleftrightarrow{CD}\) is \(-8\). By the property of parallel lines, the slope of \(\overleftrightarrow{AB}\) must be equal to the slope of \(\overleftrightarrow{CD}\).

Answer:

C. -8