Question

the slope of a line is determined by the steepness and direction of the line. when the graph of a line shows an increase from left to right, the slope is positive. when the line decreases from left to right, the slope is negative. points p, q, and r form △pqr. use the triangle to complete each statement. the length of $overline{qr}$ is 150. the length of $overline{pr}$ is 3. the slope of $overline{pq}$ is the height - to - width ratio of △pqr. enter the slope of $overline{pq}$: points q, s, and t form △qst. use the triangle to complete each statement. enter the length of $overline{st}$:

Explanation:

Step1: Recall slope formula

The slope of a line segment in a right - triangle context is the ratio of the vertical change (height) to the horizontal change (width). Here, the height is the length of $\overline{QR}$ and the width is the length of $\overline{PR}$.

Step2: Calculate slope

The slope $m$ of $\overline{PQ}$ is given by $m=\frac{\text{height}}{\text{width}}$. Given height $ = 150$ and width $=3$. So, $m = \frac{150}{3}$.

Step3: Simplify the ratio

$\frac{150}{3}=50$.

Answer:

50