Answer:
[tex]\boxed{\sf m=-\cfrac{2}{3}}[/tex]
Step-by-step explanation:
In order to fins the slope we can either use the slope formula m = (y_2-y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.
Using two points on the line, we can find the slope by finding the rise and the run
Slope formula :-
[tex]\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf \left(x_1,\:y_1\right):\left(5,\:10\right)[/tex]
[tex]\sf \left(x_2,\:y_2\right):\left(2,\:12\right)[/tex]
[tex]\sf m=\cfrac{12-10}{2-5}[/tex]
[tex]\sf m=-\cfrac{2}{3}[/tex]
