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Find the slope of the line that passes through the following points (show work) E(4, 1 2/3) and F(-2, 2/3)

Find the slope of the line that passes through the following points show work E4 1 23 and F2 23 class=

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Answer:

1/6

Step-by-step explanation:

The formula of a slope [tex]\frac{y2-y1}{x2-x1}[/tex] (change in y / change in x)

1. Substitute in the values

(x1, y1) = (4, 1[tex]\frac{2}{3}[/tex])

(x2, y2) = (-2, [tex]\frac{2}{3}[/tex])

([tex]\frac{2}{3}[/tex] - 1[tex]\frac{2}{3}[/tex]) / (-2 - 4)

2. Solve

[tex]\frac{2}{3}[/tex] - 1[tex]\frac{2}{3}[/tex] = -1

-2 - 4 = -6

slope = [tex]\frac{-1}{-6}[/tex] = [tex]\frac{1}{6}[/tex]

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