Questions: Find the slope of the line graphed below.

Solution Steps

Locate two points on the line where it crosses the grid lines exactly. For example, let's use the points (0, 3) and (3, 0).

Determine the difference in the y-coordinates of the two points. For the points (0, 3) and (3, 0), the change in y (rise) is: \[ 0 - 3 = -3 \]

Determine the difference in the x-coordinates of the two points. For the points (0, 3) and (3, 0), the change in x (run) is: \[ 3 - 0 = 3 \]

The slope (m) of the line is the ratio of the change in y to the change in x: \[ m = \frac{\text{rise}}{\text{run}} = \frac{-3}{3} = -1 \]

Final Answer