What is the slope of the line passing through the following points: $(- 4, - 3); (3, - 9)$ $(-4, -3); (3,-9)$ ?

Question

1294 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-26T14:49:11

The slope $= \frac{- 6}{7}$ $= ( -6) / ( 7)$

The coordinates provided are:
$(- 4, - 3) = x_{1}, y_{1}$ $(-4, -3) = color(blue)(x_1 , y_1$

$(3, - 9) = x_{2}, y_{2}$ $(3 , -9) = color(blue)(x_2 , y_2$

The slope is calculated using formula:

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

$= \frac{- 9 - (- 3)}{3 - (- 4)}$ $= ( -9 - (-3)) / ( 3 - (-4))$

$= \frac{- 9 + 3}{3 + 4}$ $= ( -9 + 3) / ( 3 + 4)$

$= \frac{- 6}{7}$ $= ( -6) / ( 7)$

The slope $= \frac{- 6}{7}$ $= ( -6) / ( 7)$

What is the slope of the line passing through the following points: (-4, -3); (3,-9)(−4,−3);(3,−9) (-4, -3); (3,-9)?