How do you find the slope given (3,-6) and (3,-9)?

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Answer 1 · 2016-02-16T17:35:24

The slope is not defined.

The points are :
$(3, - 6) = x_{1}, y_{1}$ $(3,-6) = color(blue)(x_1,y_1$

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

The slope is found using formula:

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

$= \frac{- 9 - (- 6)}{3 - 3}$ $=(-9 - (-6))/ (3-3)$

$= \frac{- 9 + 6}{0}$ $=(-9 +6)/0$

$= - \frac{3}{0}$ $=-3 /0$ which is not defined

A vertical line does not have a slope, since it does not exist it is not defined.