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, we can see that the line passes through \((0, -8)\) and \((8, -4)\) (we can choose other points too, but these are clear).

Step2: Calculate the rise

Rise is the change in \(y\)-coordinates, so \(y_2 - y_1=-4 - (-8)=-4 + 8 = 4\).

Step3: Calculate the run

Run is the change in \(x\)-coordinates, so \(x_2 - x_1=8 - 0 = 8\).

Step4: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{4}{8}=\frac{1}{2}\).
(For drawing the rise: draw a vertical line between the two points, from \((0, -8)\) up to \((0, -4)\) (but wait, no, actually between the two points we chose, from \((0, -8)\) to \((8, -4)\), the rise is vertical change: from \(y=-8\) to \(y = -4\), so vertical segment, and run is horizontal change from \(x = 0\) to \(x = 8\), horizontal segment.)

Answer:

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