Question

orgPractice graphing linear functions.4Consider the graph of the line.Using the rise/run counting method, the slope of theline is2.-2/3.2/3- 23/2-32

Answer 1

We must find the slope of the line in the graph. In the graph we have two points with coordinates:

$\begin{gathered} A=(x_1,y_1)=(0,1) \\ B=(x_2,y_2)=(3,-1) \end{gathered}$

We must compute the slope using the rise/run counting method. This method consists in:

1) Subtract the first X-axis point from the second one to calculate the run. In this case:

$x_2-x_1=3-0=3$

2) Subtract the first Y-axis point from the second one to calculate the rise. In this case:

$y_2-y_1=-1-1=-2$

3) Divide the rise by the run to calculate the slope m:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-2}{3}=-\frac{2}{3}$

Answer: -2/3