Question

line r is a straight line that passes through the origin. select any two points shown on line r to draw a slope triangle. the line from left to right. therefore, the slope is. enter the slope of line r.

Explanation:

Step1: Observe line direction

The line falls from left - to - right.

Step2: Recall slope formula

The slope $m=\frac{\Delta y}{\Delta x}$. Using two points, say $(0,0)$ and $(5, - 2.5)$. Then $\Delta y=-2.5 - 0=-2.5$ and $\Delta x = 5-0 = 5$.

Step3: Calculate slope

$m=\frac{-2.5}{5}=-0.5$

Answer:

The line falls from left to right. Therefore, the slope is negative. The slope of line $r$ is $-0.5$