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 two points on the line

Let's take the y - intercept point $(0,5)$ and the x - intercept point $(2,0)$.

Step2: Calculate the rise and run

The rise is the change in y - values. From $(0,5)$ to $(2,0)$, the change in y is $0 - 5=-5$. The run is the change in x - values, which is $2 - 0 = 2$.

Step3: Calculate the slope

The slope $m$ of a line is given by the formula $m=\frac{\text{rise}}{\text{run}}$. So, $m=\frac{-5}{2}=-\frac{5}{2}$.

Answer:

The slope of the line is $-\frac{5}{2}$