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, the line passes through \((0, -2)\) and \((10, 0)\) (we can also use other points, but these are clear).

Step2: Calculate the rise

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

Step3: Calculate the run

Run is the change in \(x\)-values, so \(x_2 - x_1 = 10 - 0 = 10\).

Step4: Find the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{2}{10}\), simplify by dividing numerator and denominator by 2, we get \(m = \frac{1}{5}\).

Answer:

The slope of the line is \(\frac{1}{5}\)