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find the slope from a graph. simplify your answer and write it as a pro…

Question

find the slope from a graph. simplify your answer and write it as a proper fraction, improper fraction, or integer

Explanation:

Step1: Select two points

Select two clear - cut points on the line, say $(-4, 2)$ and $(4,-3)$.

Step2: Use slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-4,y_1 = 2,x_2 = 4,y_2=-3$. Then $m=\frac{-3 - 2}{4-(-4)}$.

Step3: Simplify the expression

$m=\frac{-5}{4 + 4}=\frac{-5}{8}$.

Answer:

$-\frac{5}{8}$