What is the slope of the line that contains the points (-4, 3) and (5, 8)?

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Answer 1 · 2016-05-23T13:07:17

The slope for the pair of coordinates is $= \frac{5}{9}$ $=5/9$

$(- 4, 3) = x_{1}, y_{1}$ $(-4,3) = color(blue)(x_1 , y_1$

$(5, 8) = x_{2}, y_{2}$ $(5, 8) = color(blue)(x_2 , y_2$

The slope is calculated using formula:

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

$= \frac{8 - 3}{5 - (- 4)}$ $= ( 8 -3 ) / ( 5 - (-4))$

$= \frac{5}{5 + 4}$ $= ( 5 ) / (5+4)$

$= \frac{5}{9}$ $=5/9$

The slope for the pair of coordinates is $= \frac{5}{9}$ $=5/9$