Home > Algebra > Slope

How do you find the slope of #x=8#?

Answer 1

Eva Abramson

The slope of #x=8# is undefined

slope is defined as #("change in "y)/("corresponding change in " x)#

...but since #x# is a constant, the #"corresponding change in "x# will always be zero

...and division by zero is "undefined"

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

For the equation (x = 8), the slope is undefined because it represents a vertical line. Vertical lines have no slope because they are parallel to the y-axis and do not rise or run horizontally.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

Trending questions

Not the question you need?

HIX Tutor

Solve ANY homework problem with a smart AI

98% accuracy study help
Covers math, physics, chemistry, biology, and more
Step-by-step, in-depth guides
Readily available 24/7