Question

click twice to plot each segment.
click a segment to delete it.

Explanation:

Identify points on the line

To find the slope, we identify two clear integer coordinates on the grid.
The line crosses the y-axis at \((0, -8)\).
Another clear point highlighted on the graph is \((3, -7)\).

Apply the rise and run concept

Using the Rise and Run concept, we measure the vertical and horizontal changes.
The vertical change (rise) from \(-8\) to \(-7\) is:

$$\text{Rise} = -7 - (-8) = 1$$

The horizontal change (run) from \(0\) to \(3\) is:

$$\text{Run} = 3 - 0 = 3$$

Calculate the slope

Using the Slope Formula, we divide the rise by the run:

$$\text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{1}{3}$$

This fraction is already in its simplest form.

Answer:

\(\frac{1}{3}\)