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

The slope of the line is;

`0.625`

Step-by-step 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=(y_2-y_1)/(x_2-x_1)`

Substituting the given coordinates;

`\begin{gathered} m=(-4-1)/(-6-2)=(-5)/(-8) \\ m=(5)/(8) \\ m=0.625 \end{gathered}`

Therefore, the slope of the line is;

`0.625`