Answer:
m = -3/2
Step-by-step explanation:
The slope of a line is equivalent to the formula:
m = slope = rise/run = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given the two coordinate pairs, we can label them accordingly.
In math, coordinate pairs are set up in a way that the x-coordinate is given first and the y-coordinate is given second.
Therefore, with this information, we can label the coordinate pairs with this info.
[tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is the default labeling system for two coordinate pairs.
Then, we can use this information to label our coordinate pairs, place them into the slope formula, and solve for m.
[tex]m=\frac{-1-5}{8-4}\\\\m = \frac{-6}{4}\\\\\boxed{m=-\frac{3}{2}}[/tex]
