Question

draw a line representing the
ise\ and a line representing the
un\ of the line. state the slope of the line in simplest form.
click twice to plot each segment.
click a segment to delete it.

Explanation:

Step1: Identify two points on the line

Looking at the graph, we can see that the line passes through the points \((0, -8)\) and \((6, 4)\) (or other clear points, but these are easy to identify).

Step2: Calculate the rise

The rise is the change in the \(y\)-values. So, \( \text{rise} = y_2 - y_1 = 4 - (-8) = 12 \).

Step3: Calculate the run

The run is the change in the \(x\)-values. So, \( \text{run} = x_2 - x_1 = 6 - 0 = 6 \).

Step4: Calculate the slope

The slope \(m\) is given by the formula \( m=\frac{\text{rise}}{\text{run}} \). Substituting the values we found, \( m = \frac{12}{6} = 2 \).

Answer:

The slope of the line is \( 2 \).