# What is an example of undefined slope?

## What is an example of undefined slope?

A good real life example of undefined slope is an elevator since an elevator can only move straight up or straight down. It got its name “undefined” from the fact that it is impossible to divide by zero. In general, when the x-values or x-coordinates are the same for both points, the slope is undefined.

What graph is undefined slope?

vertical line
A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0). because division by zero is an undefined operation.

Which of the figures has an undefined slope?

A vertical line has undefined slope because all points on the line have the same x-coordinate. As a result the formula used for slope has a denominator of 0, which makes the slope undefined..

### What to do if the slope is undefined?

If the slope of a line is undefined, then the line is a vertical line, so it cannot be written in slope-intercept form, but it can be written in the form: x=a , where a is a constant. If the line has an undefined slope and passes through the point (2,3) , then the equation of the line is x=2 .

Can you have a slope of 0 6?

Answer and Explanation: No, the slope 06 is not undefined. By definition, an undefined slope is a slope with a 0 in the denominator of the slope.

What happens if slope is undefined?

If the denominator of the fraction is 0, the slope is undefined. This occurs if the x value is the same for both points. The graph would be a vertical line and would indicate that the x value stays constant for every value of y. If the numerator of the fraction is 0, the slope is 0.

#### Is a slope of 0 undefined?

Well you know that having a 0 in the denominator is a big no, no. This means the slope is undefined. As shown above, whenever you have a vertical line your slope is undefined.

What if the slope has a 0 on top?

When the 0 is on the “top” of the fraction, that would mean that the two y-values are the same. Thus that line is horizontal (slope of 0). If the “bottom” of the fraction is 0 that means the two x-values are the same. Thus that line is vertical (undefined slope).

What if y-intercept is undefined?

If a line has no y-intercept, that means it never intersects the y-axis, so it must be parallel to the y-axis. This slope of this line is undefined. If the line has no x-intercept, then it never intersects the x-axis, so it must be parallel to the x-axis.

## Is there such a thing as an undefined slope?

Undefined slope and flat slope regarding straight lines, was briefly touched on in the Gradient of a Straight Line page. Vertical Lines, Finding Slope? Vertical lines that go straight up and down have what is classed as undefined slope.

Is the slope of a flat line always 0?

Flat horizontal lines do have a slope that is defined, the slope is always a value of 0. Neither sloping upward or downward.

Are there any special cases of slopes on the xy plane?

There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph! Are you a student or a teacher?

### Is it possible to get a completely vertical slope?

So, no matter how steep the slope is, there will always be a slope that’s even steeper. You can just add or subtract 1. To get a completely vertical slope, you’d have to have a number that was simultaneously the biggest and the smallest number in existence, but that’s not possible.