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 the points \((0, 3)\) (the y - intercept) and \((6, 0)\) (the x - intercept).

Step2: Calculate the rise and run

The formula for slope \(m=\frac{\text{rise}}{\text{run}}\), where \(\text{rise}=y_2 - y_1\) and \(\text{run}=x_2 - x_1\). Let \((x_1,y_1)=(0, 3)\) and \((x_2,y_2)=(6, 0)\).
\(\text{rise}=y_2 - y_1=0 - 3=- 3\)
\(\text{run}=x_2 - x_1=6 - 0 = 6\)

Step3: Calculate the slope

Using the slope formula \(m = \frac{\text{rise}}{\text{run}}\), we substitute the values of rise and run:
\(m=\frac{-3}{6}\)
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
\(m=\frac{-3\div3}{6\div3}=-\frac{1}{2}\)

Answer:

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