Respuesta :

Solution:

To get the slope of a line from a given graph, the coordinates of any two clear points are chosen.

From the graph given, pick the points (4,0) and (8,8).

[tex]\begin{gathered} \text{where;} \\ x_1=4 \\ y_1=0 \\ x_2=8 \\ y_2=8 \end{gathered}[/tex]

The formula for calculating the slope of a line, m is given by;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the coordinates into the formula,

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{8-0}{8-4} \\ m=\frac{8}{4} \\ m=2 \end{gathered}[/tex]

Therefore, the slope of the line is 2.