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 \((-8, 0)\) and \((0, -4)\) (or other pairs of points, but these are clear intercepts).

Step2: Calculate the rise and run

Rise is the change in \(y\)-values: \(y_2 - y_1=-4 - 0=-4\)
Run is the change in \(x\)-values: \(x_2 - x_1=0 - (-8)=8\)

Step3: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-4}{8}\)

Step4: Simplify the slope

Simplify \(\frac{-4}{8}\) by dividing numerator and denominator by their greatest common divisor, which is 4. So \(\frac{-4\div4}{8\div4}=\frac{-1}{2}\)

Answer:

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