To calculate the slpe of a line, we use the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where
[tex]\begin{gathered} (x_1,y_1)_{} \\ \text{and} \\ (x_2,y_2) \end{gathered}[/tex]
Are points that belong to the line.
From the image, we can conclude that points
[tex]\begin{gathered} (-2,-1) \\ \text{and} \\ (4,-3) \end{gathered}[/tex]
Belong to the line. Using this points and the formula we've just talked about, we get that:
[tex]m=\frac{-3-(-1)}{4-(-2)}\rightarrow m=\frac{-3+1}{4+2}\rightarrow m=\frac{-2}{6}\Rightarrow m=-\frac{1}{3}[/tex]
The slope of the line is -1/3
