Answer:
[tex]m=-3[/tex]
Step-by-step explanation:
Given points:
[tex](5,3),(8,-6)[/tex]
1. Find the slope
The slope of a line between two points equals the change in the points' y-coordinates (rise) over the change in their x-coordinates (run).
The coordinates of point 1 are: [tex]x_1=5,y_1=3[/tex]
The coordinates of point 2 are: [tex]x_2=8,y_2=-6[/tex]
To find the slope, plug the points' x and y-coordinates into the formula and combine to simplify:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-6-3}{8-5}[/tex]
[tex]m=\frac{-9}{3}[/tex]
[tex]m=-3[/tex]
