Question

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

Answer 1

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.