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 identify two points: \((-4, 0)\) and \((0, -2)\) (or other pairs, but let's use these for simplicity).

Step2: Calculate the rise

Rise is the change in \(y\)-values, so \(y_2 - y_1=-2 - 0=-2\).

Step3: Calculate the run

Run is the change in \(x\)-values, so \(x_2 - x_1 = 0-(-4)=4\).

Step4: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-2}{4}\). Simplify this fraction by dividing numerator and denominator by their greatest common divisor, which is 2. So \(m = \frac{-2\div2}{4\div2}=-\frac{1}{2}\).

Answer:

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