To determine the slope of a graphed line you have to use the following formula:
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
Where
(x₁,y₁) are the coordinates of one point on the line
(x₂,y₂) are the coordinates of another point of the line
So the first step is to identify two points of the line, for example, the points (2,6) and (0,-2)
You can use (x₁,y₁) → (2,6) and (x₂,y₂) → (0,-2), replace the coordinates on the formula:
[tex]\begin{gathered} m=\frac{6-(-2)}{2-0} \\ m=\frac{6+2}{2} \\ m=\frac{8}{2} \\ m=4 \end{gathered}[/tex]
The slope of the line is m=4
