How do you find the slope of the line #x=-7#?

Answer 1

This is a vertical line so has undefined slope.

The slope #m# of a line that passes through the points #(x_1, y_1)# and #(x_2, y_2)# can be found using the following formula:

(y_2 - y_1) / (x_2 - x_1)# = (Delta y)/(Delta x)

Let's apply this formula to the line #x=-7# and utilize the distinct points #(-7, 0)# and #(-7, 1)# to find:

#m = (1 - 0) / (-7 - (-7)) = 1/0#, which is undefined, is equal to (y_2 - y_1) / (x_2 - x_1).

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Answer 2

Jace Anderson

The slope of the line x = -7 is undefined.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.