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Find the slope of LM:L(-1,-4), M(-4,-2)

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ANSWER

Slope = -2/3

Step-by-step 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:


slope\text{ = }(y_2-y_1)/(x_2-x_1)

Where (x1, y1) = (-1, -4)

(x2, y2) = (-4, -2)

So, we have:


\begin{gathered} \text{slope = }\frac{-2\text{ - (-4)}}{-4\text{ -(-1)}}\text{ = }\frac{-2\text{ + 4}}{-4\text{ + 1}} \\ \text{slope = }(2)/(-3)\text{ = -}(2)/(3) \end{gathered}

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