Question

Compute the slope of the line below. Enter your answer as a fractionadecimal. Use a slash mark (/) as the fraction bar if necessary2.1)

Answer 1

Answer:

The slope of the line is;

$0.625$

Explanation:

Given the graph in the attached image.

We want to calculate the slope of the line.

Given two points on the line;

$\begin{gathered} (x_1,y_1)=(2,1) \\ (x_2,y_2)=(-6,-4) \end{gathered}$

Recall that the formula for the slope of a line is;

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the given coordinates;

$\begin{gathered} m=\frac{-4-1}{-6-2}=\frac{-5}{-8} \\ m=\frac{5}{8} \\ m=0.625 \end{gathered}$

Therefore, the slope of the line is;

$0.625$