How can I show that there are infinitely many different lines in the xy-plane?

Question

anonymous · Answer

Hint: A line can be defined using 2 points.

anonymous · Answer

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anonymous · Answer

@abtster @cody7744 @mathmath333  Help?

mathmath333 · Answer

a plane has infinite xy co-ordinates so there will be infinite lines

anonymous · Answer

There are infenitely many points in the plane
So if you pick some point A in the plane, there are infenitely many onther points to form different pairs with
Each pair defines a unique line
So there are infinitely many lines in the plane

anonymous · Answer

so if i would have to show how that works i can just graph this 
|dw:1413946281507:dw|
@abtster @mathmath333

mathmath333 · Answer

|dw:1413946291916:dw|

this will also work

mathmath333 · Answer

since it is$$ \infty$$

anonymous · Answer

Thank you!