How do you find the slope given (2, 5) and (0, –4)?

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Answer 1 · 2016-05-29T16:09:19

The slope $= \frac{9}{2}$ $=9/2$

The coordinates are:
$(2, 5) = (x_{1}, y_{1})$ $(2,5) = color(blue)((x_1 , y_1)$

$(0, - 4) = (x_{2}, y_{2})$ $(0, -4) = color(blue)((x_2 , y_2)$

The slope is calculated using formula:
Slope $= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $=color(blue)((y_2 - y_1) /(x_2 - x_1)$

$= \frac{- 4 - 5}{0 - 2}$ $= (-4-5) / (0-2)$

$= \frac{- 9}{- 2}$ $= (-9) / (-2)$

$= \frac{9}{2}$ $= 9 /2$

The slope $= \frac{9}{2}$ $=9/2$