Given a graph of a line
We will draw a line representing the rise and a line representing the run of the line.
the lines will be as shown in the following figure:
As shown:
The red line represents the rise and the yellow line represents the run
Slope = run/rise
Rise = 3 units
Run = 6 units
So, the slope =
[tex]\text{slope}=-\frac{3}{6}=-\frac{1}{2}[/tex]
The sign of the slope is negative because the line makes an angle with the positive direction of the x-axis more than 90°
