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

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]