What is the slope of the line passing through the following points: $(- 2, - 4); (0, - 6)$ $(-2, -4) ; (0, -6)$ ?

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Answer 1 · 2016-04-06T12:53:49

The slope $= - 1$ $=- 1$

The coordinates are:
$(- 2, - 4) = x_{1}, y_{1}$ $(-2 , -4) = color(blue)(x_1, y_1)$

$(0, - 6) = x_{2}, y_{2}$ $(0 , - 6) = color(blue)(x_2, y_2)$

The slope is calculated using formula:

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

$= \frac{- 6 - (- 4)}{0 - (- 2)}$ $=(- 6 - (-4)) / ( 0 -(-2))$

$= \frac{- 6 + 4}{0 + 2}$ $=(- 6 + 4) / ( 0 + 2)$

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

$= - 1$ $=- 1$

What is the slope of the line passing through the following points: (-2, -4) ; (0, -6) (−2,−4);(0,−6) (-2, -4) ; (0, -6) ?