Question

I don't understand how to do this, could I have some help?

Answer 1

To calculate the slpe of a line, we use the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

Where

`\begin{gathered} (x_1,y_1)_{} \\ \text{and} \\ (x_2,y_2) \end{gathered}`

Are points that belong to the line.

From the image, we can conclude that points

`\begin{gathered} (-2,-1) \\ \text{and} \\ (4,-3) \end{gathered}`

Belong to the line. Using this points and the formula we've just talked about, we get that:

`m=(-3-(-1))/(4-(-2))\rightarrow m=(-3+1)/(4+2)\rightarrow m=(-2)/(6)\Rightarrow m=-(1)/(3)`

The slope of the line is -1/3