Answer:
[tex]\boxed {m = -\frac{3}{4}}[/tex]
Step-by-step explanation:
Use the Slope Formula to help you determine the slope of two given points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
First point: [tex](x_{1}, y_{1})[/tex]
Second point: [tex](x_{2}, y_{2})[/tex]
-Substitute both given points onto the formula:
First point: [tex](1, 2)[/tex]
Second point: [tex](-3, 5)[/tex]
[tex]m = \frac{5 - 2}{-3 - 1}[/tex]
-Solve for slope:
[tex]m = \frac{5 - 2}{-3 - 1}[/tex]
[tex]m = \frac{3}{-4}[/tex]
[tex]\boxed {m = -\frac{3}{4}}[/tex]
Therefore, the slope is [tex]-\frac{3}{4}[/tex].
