Answer:
[tex]\boxed {m = -\frac{5}{4}}[/tex]
Step-by-step explanation:
Use the Slope Formula to help you determine the slope of two following points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(where [tex](x_{1}, y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)
-Apply the following points onto the formula:
[tex](x_{1}, y_{1}) = (-5, -6)[/tex]
[tex](x_{2}, y_{2}) = (-9, -1)[/tex]
[tex]m = \frac{-1 + 6}{-9 + 5}[/tex]
-Solve the equation:
[tex]m = \frac{-1 + 6}{-9 + 5}[/tex]
[tex]\boxed {m = -\frac{5}{4}}[/tex]
So, therefore, the slope is [tex]-\frac{5}{4}[/tex].
