What is the slope of the line which passes through (3, -2) and (-4, -3)?

Question

4065 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-19T05:33:16

The slope $= \frac{1}{7}$ $= 1 / 7$

$(3, - 2) = x_{1}, y_{1}$ $(3 , -2) = color(blue)(x_1 , y_1$

$(- 4, - 3) = x_{2}, y_{2}$ $(-4 , -3) = color(blue)(x_2 , y_2$

The slope is calculated using formula:

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

$= \frac{- 3 - (- 2)}{- 4 - 3}$ $= ( -3 - (-2)) / ( - 4 -3)$

$= \frac{- 3 + 2}{- 7}$ $= ( -3 + 2) / ( - 7)$

$= \frac{- 1}{- 7}$ $= ( -1) / ( - 7)$

$= \frac{1}{7}$ $= 1 / 7$