Answer :
ANSWER
Slope = -2/3
EXPLANATION
The slope is the rate of change of y with x. It is the ratio of the change in y with the change in x.
To find the slope of of LM, we have to use the formula:
[tex]slope\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x1, y1) = (-1, -4)
(x2, y2) = (-4, -2)
So, we have:
[tex]\begin{gathered} \text{slope = }\frac{-2\text{ - (-4)}}{-4\text{ -(-1)}}\text{ = }\frac{-2\text{ + 4}}{-4\text{ + 1}} \\ \text{slope = }\frac{2}{-3}\text{ = -}\frac{2}{3} \end{gathered}[/tex]