What is the slope of the line x=-2?

1 Answer
Daniel X.
Mar 21, 2018

Slope = Undefined

Explanation:

If a line has the equation x=k, where k is a constant, it is a vertical line. A vertical line has an undefined slope.

PROOF:
The equation for slope is (y_1-y)/(x_1-x). If the equation is x=-2, we can substitute this value into (y_1-y)/(x_1-x) to get (y_1-y)/(-2-(-2), and simplifying this equation makes the denominator 0, which is undefined.

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