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

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

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Answer 1 · 2018-03-21T14:00:33

Slope = Undefined

Explanation:

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

PROOF:
The equation for slope is $\frac{y_{1} - y}{x_{1} - x}$ $(y_1-y)/(x_1-x)$ . If the equation is $x = - 2$ $x=-2$ , we can substitute this value into $\frac{y_{1} - y}{x_{1} - x}$ $(y_1-y)/(x_1-x)$ to get $\frac{y_{1} - y}{- 2 - (- 2)}$ $(y_1-y)/(-2-(-2)$ , and simplifying this equation makes the denominator $0$ $0$ , which is undefined.

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

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