Question

Use the graph below to find the slope of the line. Explain your steps with sentences.

Answer 1

Given:

The graph of a linear equation

Required:

The slope of the line

The slope of the line can be found using the formula:

`\begin{gathered} \text{slope = }(y_2-y_1)/(x_2-x_1) \\ \text{where } \\ (x_1,y_1)\text{ and } \\ (x_2,y_2)\text{ are two points on the line} \end{gathered}`

On the line, we can identify the points : (-5,0) and (-6 4)

Using the slope formula:

`\begin{gathered} \text{slope = }(4-0)/(-6-(-5)) \\ =\text{ }(4)/(-1) \\ =\text{ -4} \end{gathered}`

Answer:

slope = -4