Question

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 \((0, 6)\) (we can also use other points, but these are clear).

Step2: Calculate the rise

Rise is the change in \(y\)-coordinates. So, \(y_2 - y_1 = 6 - 0 = 6\).

Step3: Calculate the run

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

Step4: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{6}{8}\), simplify it by dividing numerator and denominator by 2, we get \(m = \frac{3}{4}\).

(For drawing the rise and run: From the point \((-8, 0)\), draw a vertical line up to \(y = 6\) (this is the rise, length 6) and then a horizontal line to \(x = 0\) (this is the run, length 8). Or from \((0, 6)\) down to \((-8, 0)\) vertical and then horizontal, but the direction should be consistent with the slope calculation.)

Answer:

The slope of the line is \(\frac{3}{4}\).