Question

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

Answer 1

Hint: A line can be defined using 2 points.

Answer 2

@abtster @cody7744 @mathmath333 Help?

Answer 3

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

Answer 4

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

Answer 5

so if i would have to show how that works i can just graph this

@abtster @mathmath333

Answer 6

this will also work

Answer 7

since it is\[ \infty\]

Answer 8

Thank you!