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What is Slope?

1 Answer

Jun 8, 2018

Slope is the change in the y values divided by the change in the x values

Explanation:

$slope = \frac{rate of change in y}{rate of change in x} = \frac{rise}{run}$ $"slope"="rate of change in y"/"rate of change in x" ="rise"/"run"$

$(x_{1}, y_{1})$ $(color(blue)(x_1),color(blue)(y_1))$

$(x_{2}, y_{2})$ $(color(red)(x_2),color(red)(y_2))$

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $color(green)m =(color(red)(y_2)-color(blue)(y_1))/(color(red)(x_2)-color(blue)(x_1))$

Is is often expressed as rise over run.

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