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, let's assume two points on the line. Let's take the y - intercept (0, -8) and another point, say (4, -6) (we can find this by moving 4 units right and 2 units up from (0, -8)).

Step2: Calculate the rise and run

Rise is the change in y - coordinates, so \(y_2 - y_1=-6-(-8) = 2\). Run is the change in x - coordinates, so \(x_2 - x_1 = 4 - 0=4\).

Step3: Calculate the slope

The formula for slope \(m=\frac{\text{rise}}{\text{run}}\). Substituting the values of rise and run, we get \(m = \frac{2}{4}=\frac{1}{2}\). (Note: To draw the rise, we draw a vertical line between the two points, and for the run, we draw a horizontal line between the two points. The slope is calculated as the ratio of rise to run.)

Answer:

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