What is the slope of the line passing through the following points: $(2, - 1), (5, 3)$ $(2,-1) ,(5,3)$ ?

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Answer 1 · 2016-03-21T17:22:23

The slope $= \frac{4}{3}$ $= 4/ 3$

$(2, - 1) = x_{1}, y_{1}$ $(2,-1) = color(blue)(x_1, y_1$

$(5, 3) = x_{2}, y_{2}$ $(5, 3) = color(blue)(x_2, y_2$

The slope is calculated using formula:

Slope $= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $= (y_2-y_1) / (x_2- x_1$ ( change in y axis / change in x axis)

$= \frac{3 - (- 1)}{5 - 2}$ $= ( 3 - (-1)) / (5-2)$

$= \frac{3 + 1}{3}$ $= ( 3 +1) / 3$

$= \frac{4}{3}$ $= 4/ 3$

What is the slope of the line passing through the following points: (2,-1) ,(5,3) (2,−1),(5,3)(2,-1) ,(5,3) ?