Greetings!
To solve for the slope using the two points, we can use the slope formula:
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
Input the points into the formula:
[tex]m= \frac{-2-3}{5-1} [/tex]
Simplify the equation:
[tex]m= \frac{-5}{4} [/tex]
The Slope Is:
[tex]\boxed{\frac{-5}{4}}[/tex]
I hope this helped!
-Benjamin