Question

draw a line representing the rise and a line representing the run 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 \((0, 2)\) and \((4, 0)\) (we can choose other points as well, but these are clear).

Step2: Calculate the rise and run

Rise is the change in \(y\)-coordinates: \(y_2 - y_1 = 0 - 2 = - 2\)
Run is the change in \(x\)-coordinates: \(x_2 - x_1 = 4 - 0 = 4\)

Step3: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-2}{4}\)

Step4: Simplify the slope

Simplify \(\frac{-2}{4}\) by dividing numerator and denominator by their greatest common divisor, which is 2. So \(\frac{-2\div2}{4\div2}=\frac{-1}{2}\)

Answer:

The slope of the line is \(\boldsymbol{-\frac{1}{2}}\)