Answer:
[tex]\boxed {m = -\frac{6}{7}}[/tex]
Step-by-step explanation:
Use the Slope Formula to help determine the slope of the two following points:
[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)
-Apply the two following points to the formula:
[tex](x_{1}, y_{1}) = (-3, 5)[/tex]
[tex](x_{2}, y_{2}) = (4, -1)[/tex]
[tex]m = \frac{-1 - 5}{4 + 3}[/tex]
-Solve for the slope:
[tex]m = \frac{-1 - 5}{4 + 3}[/tex]
[tex]m = \frac{-6}{7}[/tex]
[tex]\boxed {m = -\frac{6}{7}}[/tex]
Therefore, the slope is [tex]-\frac{6}{7}[/tex].
