What is the slope of the line passing through the following points: $(- 1, 1), (- 3, 0)$ $(-1, 1) , (-3,0)$ ?

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Answer 1 · 2016-03-01T18:18:58

The slope is $= \frac{1}{2}$ $=1/2$

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

$(- 3, 0) = x_{2}, y_{2}$ $(-3,0) = color(blue)(x_2,y_2$

The slope is calculated using formula:

slope $= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $=color(green)( (y_2-y_1) / (x_2 - x_1)$
(ie; change in $y$ $y$ axis divided by change in $x$ $x$ axis)

$= \frac{0 - 1}{- 3 - (- 1)}$ $= (0-1) / (-3- (-1))$

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

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

$= \frac{1}{2}$ $=1/2$

What is the slope of the line passing through the following points: (-1, 1) , (-3,0) (−1,1),(−3,0)(-1, 1) , (-3,0) ?