# What happens when 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 do you do if the slope is 0?

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. This form can be handy if you need to find the slope of a line given the equation.

When the slope is 0 What does that mean?

Now we see why a vertical line has an undefined slope. Because we can't divide by zero! Usually in math, when something is "undefined" it means that somewhere, something is being divided by 0. And that's a no-no. It has no meaning.

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