Question

find the slope of the line in the figure. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the slope of the line is (type an integer or a simplified fraction.) b. the slope is undefined

Explanation:

Step1: Select two points on the line

Let's take two clear - cut points on the line. For example, assume the points are $(0, 8)$ and $(8, 4)$.

Step2: Use the slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 8,x_2=8,y_2 = 4$. Then $m=\frac{4 - 8}{8 - 0}$.

Step3: Calculate the slope

$\frac{4 - 8}{8 - 0}=\frac{-4}{8}=-\frac{1}{2}$.

Answer:

A. The slope of the line is $-\frac{1}{2}$