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

From the graph, we can see that the line passes through \((-3, 0)\) and \((0, -2)\) (or other clear points, let's use these two for calculation).

Step2: Calculate the rise and run

Rise is the change in \(y\)-values: \(y_2 - y_1=-2 - 0=-2\)
Run is the change in \(x\)-values: \(x_2 - x_1=0 - (-3)=3\)

Step3: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-2}{3}\) (We can also check with another pair of points, say \((0, -2)\) and \((3, -4)\). Rise: \(-4 - (-2)=-2\), Run: \(3 - 0 = 3\), so slope is still \(\frac{-2}{3}\))

Answer:

The slope of the line is \(\boldsymbol{-\frac{2}{3}}\)