# What is the equation of an undefined slope?

## What is the equation of an undefined slope?

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.

### Is YX an undefined slope?

Slope and Vertical Lines On the line below, no matter what the value of y, x is always equal to 1. Since x never changes, the run will always be 0. This is true for any vertical line… the slope of the line will be undefined!

**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.

**How do you write an equation with no slope?**

The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be y = b, where the line’s slope is 0 (m = 0).

## What is y-intercept when slope is undefined?

y=mx + b When the equation is in this form, the coefficient of x will be the slope and the y-intercept will be (0,b). If the denominator of the fraction is 0, the slope is undefined. This occurs if the x value is the same for both points.

### What is undefined slope?

What Is an Undefined Slope? The slope of a line is undefined if the line is vertical. If you think of slope as rise over run, then the line rises an infinite amount, or goes straight up, but does not run at all.

**How do you know if an equation is undefined?**

A rational expression is undefined when the denominator is equal to zero. To find the values that make a rational expression undefined, set the denominator equal to zero and solve the resulting equation.

**What is a line with an undefined slope?**

Vertical lines have undefined slope. Since any two points on a vertical line have the same x-coordinate, slope cannot be computed as a finite number according to the formula, because division by zero is an undefined operation.

## How do you write an equation with an undefined slope?

Plot a point on the y-axis.

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

Undefined Slope

**How to find an undefined slope?**

Finding Slope, Alternative Method. A slope can also be found to be undefined with the other formula for finding the gradient m of a straight line, m = tan θ . As a vertical line will always make an angle the size of of 90° with the positive direction of the x -axis. tan ( 90°) = undefined.

**Which equation represents a line with an undefined slope?**

Thus, all lines with undefined slope have equations of the form {eq}x = a {/eq}, where {eq}a {/eq} is a real number. So what of the graph above? What is its equation? Well, it must be of the form: So the real question is, what is {eq}a {/eq}? Well, it must make the equation true for every point on the line.