# How do you find the equation of a line with an undefined slope?

## How do you find the equation of a line with an undefined slope?

Any line that has an undefined slope is a vertical line, that has no y-intercept. Therefore the equation of a line with an undefined slope is x = a, where a = x-intercept.

## What does undefined slope mean?

An undefined slope (or an infinitely large slope) is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is!

**What is an undefined equation?**

Equations with Undefined Slopes As any point with the given x x -coordinate falls on the line, the y y -coordinate can reach any real number. Thus, all lines with undefined slope have equations of the form x=a x = a , where a a is a real number.

### What does an undefined line look like?

A line has a slope that is considered undefined when it does not have any horizontal run. It will be a straight vertical line.

### What is the graph of a line with a slope of undefined?

When you graph an undefined slope, you will be graphing a line that is vertical. It will have a rise, but it will not have a run.

**What does an undefined equation look like?**

A vertical line has undefined, or infinite, slope. If you attempt to find the slope using rise over run or any other slope formula, you will get a 0 in the denominator. Since division by 0 is undefined, the slope of the line is undefined. The equation of a line with undefined slope will look like x = ‘something.

## What if y-intercept is undefined?

Explanation: An undefined slope means a vertical line.

## What is the slope of 0 and undefined slope?

The slope of a line can be positive, negative, zero, or undefined. 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).

**What if the slope has a 0 on top?**

This means the slope is undefined. As shown above, whenever you have a vertical line your slope is undefined.

### What does a undefined graph look like?

Since we did not have a change in the x values, the denominator of our slope became 0. This means that we have an undefined slope. If you were to graph the line, it would be a vertical line, as shown above. The slope of the line is undefined.

### What is the slope of a undefined line?

Lesson Summary A vertical line has undefined, or infinite, slope. If you attempt to find the slope using rise over run or any other slope formula, you will get a 0 in the denominator. Since division by 0 is undefined, the slope of the line is undefined.