The slope value in the simplest form of a line that passes through (8, 8) and (20, -2) is: [tex]\mathbf{-\frac{5}{6}}[/tex]
Recall:
Slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Thus:
Given two points that a line passes through as: (8, 8) and (20, -2),
(8, 8) = [tex](x_1, y_1)\\\\[/tex]
(20, -2) = [tex](x_2, y_2)[/tex]
- Plug in the values into the slope (m) formula
Slope (m) = [tex]\frac{-2 - 8}{20 - 8}[/tex]
Slope (m) = [tex]\frac{-10}{12}[/tex]
Slope (m) = [tex]\mathbf{-\frac{5}{6}}[/tex]
Therefore, the slope value in the simplest form of a line that passes through (8, 8) and (20, -2) is: [tex]\mathbf{-\frac{5}{6}}[/tex]
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