Question

draw a line representing the “rise” and a line representing the “run” of the line. state the slope of the line in simplest form. click twice to plot each segment. click a segment to delete it.

Explanation:

Step1: Identify rise and run

The rise is the vertical change and run is the horizontal change between two points on the line. From the graph, if we consider two points, say the points where the dashed - red lines intersect the blue line. The vertical change (rise) from one point to the other is $2$ units (going up is positive, going down is negative, here it is down so $- 2$) and the horizontal change (run) is $3$ units (right - direction is positive).

Step2: Use slope formula

The slope $m$ of a line is given by the formula $m=\frac{\text{rise}}{\text{run}}$. Substituting the values of rise and run, we get $m =-\frac{2}{3}$.

Answer:

$-\frac{2}{3}$