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 two points on the line, say $(-4,7)$ and $(4,3)$.

Step2: Calculate the rise

The rise is the change in the $y -$ values. So, rise $=y_2 - y_1=3 - 7=- 4$.

Step3: Calculate the run

The run is the change in the $x -$ values. So, run $=x_2 - x_1=4-(-4)=8$.

Step4: Calculate the slope

The slope $m$ of a line is given by the formula $m=\frac{\text{rise}}{\text{run}}$. So, $m = \frac{-4}{8}=-\frac{1}{2}$.

Answer:

The slope of the line is $-\frac{1}{2}$