# How do you find the slope of the line through (3,2) (3,-6)?

Aug 16, 2015

It is a vertical curve. Its slope is $\infty$

#### Explanation:

Since x co-ordinate at both the points are '3'

Its equation is x = 3

It is parallel to y axis. Its slope is $\infty$
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When two points are given the formula to calculate slope is -

m = $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

${x}_{1}$ = 3
${y}_{1}$ = 2
${x}_{2}$ = 3
${y}_{2}$ = -6

m = $\frac{\left(- 6\right) - 2}{3 - 3}$ = $\frac{- 8}{0}$ = $\infty$