Question

if the slope of $overline{pq}$ is $\frac{2}{3}$ and the slope of $overline{qr}$ is $-\frac{1}{2}$, find the slope of $overline{sr}$ so that $pqrs$ is a parallelogram.

Explanation:

Step1: Recall parallelogram slope rule

In a parallelogram, opposite sides are parallel, so their slopes are equal.

Step2: Match opposite sides

$PQ$ and $SR$ are opposite sides of parallelogram $PQRS$.

Step3: Assign equal slopes

Slope of $SR$ = Slope of $PQ$ = $\frac{2}{3}$

Answer:

$\frac{2}{3}$