Answer:
[tex]\boxed {m = \frac{3}{2}}[/tex]
Step-by-step explanation:
To determine the slope of the following line shown on the graph, you need to use the Slope Formula:
[tex]m = \frac{y_{2}- y_{1}}{x_{2} - x_{1}}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-The points I found on the graph are [tex](-3, -3)[/tex] and [tex](-1, 0)[/tex]. Then, apply them onto the formula:
[tex](x_{1}, y_{1}) = (-3, -3)[/tex]
[tex](x_{2}, y_{2}) = (-1, 0)[/tex]
[tex]m = \frac{-3 - 0}{-3 + 1}[/tex]
-Solve:
[tex]m = \frac{-3 - 0}{-3 + 1}[/tex]
[tex]\boxed {m = \frac{3}{2}}[/tex]
Therefore, the slope is [tex]\frac{3}{2}[/tex].
