Question

reasoning with negative slopes
a submarine dove from sea level and descended at a certain rate. the graphed line shows the elevation of the submarine over time.
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 qr is 300. the length of pr is 3.
the slope of pq is the height - to - width ratio of △pqr, written as a negative number.
enter the slope of pq:
points q, s, and t form △qst. use the triangle to complete each statement.
enter the length of st:

Explanation:

Step1: Recall slope formula

The slope $m$ of a line segment in a right - triangle is given by $m=\frac{\text{vertical change}}{\text{horizontal change}}$.

Step2: Identify vertical and horizontal changes for $\overline{PQ}$

The vertical change (height) for $\overline{PQ}$ is the length of $\overline{QR} = 300$ (downward, so negative in value) and the horizontal change (width) is the length of $\overline{PR}=3$.

Step3: Calculate the slope

$m=\frac{- 300}{3}=-100$.

Answer:

$-100$