Question

any 2 points determine a line. If there are 6 points

in a plane, no 3 of which lie on the same line,

how many lines are determined by pairs of these

6 points?

Answer 1

tips?

Answer 2

micah?

Answer 3

http://i43.tinypic.com/ftenup.png

Answer 4

Let there be points A, B, C, D, E and F.
For point A, there are 5 possible lines (AB, AC, AD, AE, and AF)
For point B, there are 4 possible lines (BC, BD, BE, and BF) Keep in mind that AB is excluded since lines AB and BC are considered the same line.
For point C, there are 3 possible lines (CD, CE, and CF) (CA and CB excluded)
For point D, there are 2 possible lines (DE and DF) (DA, DB, and DC excluded)
For point E, there is 1 possible line (EF) (EA, EB, EC, and ED excluded)
For point F, there is no possible line. (FA, FB, FC, FD, and FE excluded)

5 + 4 + 3 + 2 + 1 = 15 possible lines.

Answer 5

Does this help?

Answer 6

heck yeah

Answer 7

next problem?

Answer 8

Sure.

Answer 9

Glad I helped.

Answer 10

ty