Answer:
[tex]\boxed { m = -3}[/tex]
Step-by-step explanation:
Use the Slope Formula to help you find the slope of the two given 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 given points onto the formula:
[tex](x_{1}, y_{1}) = (3, 1)[/tex]
[tex](x_{2}, y_{2}) = (-2, 4)[/tex]
[tex]m = \frac{4 - 1}{-2 - 3}[/tex]
Solve for the slope:
[tex]m = \frac{4 - 1}{-2 - 3}[/tex]
[tex]m = \frac{3}{-1}[/tex]
[tex]\boxed { m = -3}[/tex]
Therefore, the slope is [tex]-3[/tex].
