How do you find the slope of the line that passes through the given points (0, 6) and (20, 14)?

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How do you find the slope of the line that passes through the given points (0, 6) and (20, 14)?

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Answer 1 · 2016-11-09T03:00:49

Use the slope formula to find $m = \frac{2}{5}$ $m=2/5$

Explanation:

Find the slope of the line through $(0, 6)$ $(0,6)$ and $(20, 14)$ $(20,14)$

The formula for slope ( $m$ $m$ ) is

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m=frac{color(red)(y_2)-color(blue)(y_1)}{color(red)(x_2) - color(blue)(x_1)}$ where $(x_{1}, y_{1})$ $(color(blue)(x_1), color(blue)(y_1))$ and $(x_{2}, y_{2})$ $(color(red)(x_2), color(red)(y_2))$ are two points.

Let $(x_{1}, y_{1}) = (0, 6)$ $(color(blue)(x_1), color(blue)(y_1)) = (color(blue)0, color(blue)6)$ and $(x_{2}, y_{2}) = (20, 14)$ $(color(red)(x_2), color(red)(y_2))=(color(red)(20), color(red)(14))$

$m = \frac{14 - 6}{20 - 0} = \frac{8}{20} = \frac{2}{5}$ $m=frac{color(red)(14)-color(blue)6}{color(red)(20)-color(blue)0]=8/20=2/5$

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How do you find the slope of the line that passes through the given points (0, 6) and (20, 14)?

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