How do you find the slope of #x=6#?

1 Answer
EZ as pi
Jun 6, 2016

Hence the slope of a vertical line is undefined.

Explanation:

#x = 6# is the equation of a vertical line which only has an x intercept. The slope is infinitely steep, or undefined,

If you try to do it by calculation: For any vertical change, the horizontal change is still 0.

Slope = #1/0#. Division by zero is not allowed - it gives infinity as the answer.

Hence the slope of a vertical line is undefined.

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