Question

given a line has a slope of $-\frac{5}{4}$, what is the slope of a line parallel to it? $-\frac{4}{5}$ $\frac{4}{5}$ $-\frac{5}{4}$

Explanation:

Step1: Recall the property of parallel lines' slopes

Parallel lines have equal slopes.

Step2: Determine the slope of the parallel line

Given the slope of a line is $-\frac{5}{4}$, the slope of a line parallel to it will also be $-\frac{5}{4}$.

Answer:

The slope of the line parallel to the given line is $-\frac{5}{4}$, so the correct option is the third one: $-\frac{5}{4}$