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.Don't forget to pick two points from the graph and demonstrate them with the image. Slope of the line:

Answer 1

SOLUTION

From the picture above, the black line respresents rise and the blue line represents run.

You can see the points we selected. (8, -2) and (2, -6)

The slope becomes

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where }x_1=8,y_1-2,x_2=2,y_2=-6 \end{gathered}$

Substituting the values, we have

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-6-(-2)_{}_{}}{2_{}-8_{}} \\ m=\frac{-6+2}{-6} \\ m=\frac{-4}{-6} \\ m=\frac{2}{3} \end{gathered}$

Hence, the slope is

$\frac{2}{3}$