What's the slope of the line containing the pair of points (9,-7) and (9,-10)

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asked Jan 12, 2018 125k views

3 votes

What's the slope of the line containing the pair of points (9,-7) and (9,-10)

Mathematics
college

Nvogel asked

by Nvogel

5.8k points

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1 Answer

5 votes

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 9}} &,&{{ -7}}~) % (c,d) &&(~{{ 9}} &,&{{ -10}}~) \end{array} \\\\\\ % slope = m slope \implies \cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-10-(-7)}{9-9}\implies \cfrac{-10+7}{9-9}\implies \stackrel{und efined}{\cfrac{-3}{0}}$

with an undefined slope, that means is a vertical line, check the picture below.