[tex]\large\boxed{\textsf{A.}\ m=-\frac{1}{5}}[/tex]
We can use the slope formula, where our points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
This is also known as "rise over run" because it represents the change in vertical ([tex]y[/tex]) position divided by the change in horizontal ([tex]x[/tex]) position.
Substitute the values from the points given:
[tex]\dfrac{(-5)-(-4)}{3-(-2)}[/tex]
Subtract:
[tex]\boxed{\dfrac{-1}{5}}[/tex]
