Answer:
The slope is [tex]-3[/tex]
Step-by-step explanation:
The slope of a line, [tex]m[/tex], that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To find the slope of a line, choose two points that it clearly passes through.
In the given graph, the line clearly passes through points (2, 2) and (0, 8).
Let:
[tex](x_1, y_1)\implies (2, 2)\\(x_2, y_2)\implies (0, 8)[/tex]
Substitute into the slope formula:
[tex]m=\frac{8-2}{0-2}=\frac{6}{-2}=\boxed{-3}[/tex]
Therefore, the slope of the line is -3.
