# Marco is given 2 equations that appear very different and asked to graph them using Desmos. He notices that even though the equations appear very different, the graphs overlap perfectly.Explain why this is possible?

##### 1 Answer

See below for a couple of ideas:

#### Explanation:

There are a couple of answers here.

**It's the same equation but in different form**

If I graph

graph{x}

graph{2(y-3)-2(x-3)=0}

**The graph is different but the grapher doesn't show it**

One way this can show up is with a small hole or discontinuity. For instance, if we take that same graph of

graph{x((x-1)/(x-1))}

First let's acknowledge that there is a hole at

The reason is that the hole is only at 2.00000....00000. The points right next to it, 1.9999...9999 and 2.00000....00001 are valid. The discontinuity is infinitely small and so the grapher won't show it.