Question

line m has a y - intercept of c and a slope of \\(\frac{p}{q}\\), where \\(p > 0\\), \\(q > 0\\), and \\(p \
eq q\\). what is the slope of a line that is parallel to line m? \\(\circ\\) a. \\(\frac{q}{p}\\) \\(\circ\\) b. \\(-\frac{q}{p}\\) \\(\circ\\) c. \\(-\frac{p}{q}\\) \\(\circ\\) d. \\(\frac{p}{q}\\)

Explanation:

Step1: Recall parallel lines property

Parallel lines have equal slopes.

Step2: Identify line m's slope

Line m has slope $\frac{p}{q}$.

Step3: Apply property to parallel line

The parallel line shares this slope.

Answer:

D. $\frac{p}{q}$