# Write an equation that has an undefined slope

Think of it using the hill analogy again.

Well you know that having a 0 in the denominator is a big no, no. As shown above, whenever you have a vertical line your slope is undefined. The x-values can be any number, but y must always be 1.

We can get down to business and answer our question of what are the slope and y-intercept. And that's a no-no. What does this form if we graph it?

Slope is defined as the rise over the run, right? All horizontal lines have slope 0. Because we can't divide by zero!

## How to write an equation with an undefined slope and a point

Thank you! All these are on the line. As I walk along it, it doesn't rise very fast over distance. But I'll try to explain. This means the slope is undefined. So all the points on this line will have 1 as their y coordinate. Why is this so? So, for all our efforts on this problem, we find that the slope is undefined and the y-intercept does not exist. That is, the rise is 1, and the run is 0. Now I have 2 points so I can draw my line between them. Think of it using the hill analogy again.
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