determine whether the points are collinear. (0,4) (7,6) (5,11)

Question

anonymous · Answer

@ParthKohli @mathteacher1729 @amistre64

parthkohli · Answer

How about drawing the thing out?

anonymous · Answer

I did they look like they are in  a straight line

anonymous · Answer

but I could be wrong.

parthkohli · Answer

|dw:1342367594629:dw|

anonymous · Answer

those look non-collinear

parthkohli · Answer

They do?

parthkohli · Answer

Yeah, they do. And that is the answer.

anonymous · Answer

so, it is non-collinear?

parthkohli · Answer

Yep

anonymous · Answer

thx

anonymous · Answer

@ParthKohli is right as always, they are not collinear.

mathteacher1729 · Answer

@schmidtdancer Woah, you need more than that to SHOW that they are non-collinear!

mathteacher1729 · Answer

You can do this a few ways.  

1) Pick two points, find the equation of line between them, then see if the third point is on that line. 

2) Name the points A, B, and C.  Find the distance between AB, and BC. If that distance is EQUAL to the distance between AC, then they are colinear. Otherwise, not.

parthkohli · Answer

|dw:1342368134794:dw|

$AB \ne BC$ but $ABC $ forms a straight line @mathteacher1729