What is the slope for x = 4?

Answer 1

A vertical line has an infinitely steep slope because it's straight up and down!

Recall that the usual equation for a line is as follows:

#y=mx + b#

where #m# is the line's slope. A line's slope is defined as the ratio of rise, or the difference in vertical distance (represented by #y#-values), divided by run, or the difference in horizontal distance (represented by #x#-values).

#m=y_2-y_1)#/(x_2-x_1)#

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Answer 2

Hazel Anglin

The slope is not defined for points with the same #x# coordinate.

The slope of a line passing through the points #(x_1, y_1)# and #(x_2, y_2)#, where #x_1!= x_2#, is defined as slope.

#x_1 = x_2#. is not a defined case.

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Answer 3

Jameson Allen

The slope for a vertical line 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.