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 \((0, 7)\) (the y - intercept) and \((2, - 3)\) (by observing the coordinates of another point on the line).

Step2: Calculate the rise and the run

The formula for slope is \(m=\frac{\text{rise}}{\text{run}}\), where \(\text{rise}=y_2 - y_1\) and \(\text{run}=x_2 - x_1\). Let \((x_1,y_1)=(0,7)\) and \((x_2,y_2)=(2, - 3)\). Then \(\text{rise}=-3 - 7=-10\) and \(\text{run}=2 - 0 = 2\).

Step3: Calculate the slope

Using the slope formula \(m=\frac{\text{rise}}{\text{run}}\), we substitute the values of rise and run. So \(m=\frac{- 10}{2}=-5\).

Answer:

The slope of the line is \(-5\)