Answer:
[tex]m=\dfrac{4}{5}[/tex]
Explanation:
The slope is a measure of the steepness of a line. It is the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
To find the slope of the graphed line, we can use the slope formula:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Slope formula}}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\textsf{where:}\\\phantom{w}\bullet\;\;m\; \textsf{is the slope.}\\\phantom{w}\bullet\;\;(x_1,y_1)\;\textsf{and}\;(x_2,y_2)\;\textsf{are two points on the line.}\end{array}}[/tex]
Two points on the line are (-5, 0) and (0, 4). Therefore:
- x₁ = -5
- y₁ = 0
- x₂ = 0
- y₂ = 4
Substitute these coordinates into the slope formula:
[tex]m=\dfrac{4-0}{0-(-5)}=\dfrac{4}{5}[/tex]
Therefore, the slope of the line is:
[tex]\Large\boxed{\boxed{m=\dfrac{4}{5}}}[/tex]
