What is the slope of the line that passes through the points (-3, 5) and (-3, -2)?

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asked Feb 19, 2018 2.7k views

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Lukas Nespor · Answer 1 · 2018-02-23T02:07:11+0000

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -3}}\quad ,&{{ 5}})\quad % (c,d) &({{ -3}}\quad ,&{{ -2}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-2-5}{-3-(-3)}\implies \cfrac{-2-5}{-3+3} \\\\\\ \cfrac{-7}{0}\impliedby \textit{und}\textit{efined}$

so the slope is undefined.. meaning, is a "vertical line"

well, let's see hmm when y is 5, x is -3, when y is -2, x is still -3

let's graph that, check the picture below

What is the slope of the line that passes through the points (-3, 5) and (-3, -2)?-example-1

What is the slope of the line that passes through the points (-3, 5) and (-3, -2)?

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