SOLUTION: Determine whether or not the following points are collinear. (1,9) (7,3)and (10,0) (-2,-1), (5,5) and (7,9)

Algebra ->  Functions -> SOLUTION: Determine whether or not the following points are collinear. (1,9) (7,3)and (10,0) (-2,-1), (5,5) and (7,9)      Log On


   

Question 123365This question is from textbook Structure and Method Book 1
: Determine whether or not the following points are collinear.
(1,9) (7,3)and (10,0)
(-2,-1), (5,5) and (7,9) This question is from textbook Structure and Method Book 1

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Collinear points would be on a line with the same slope.
You can calculate the slope of a line between each data pair.
If the slopes all match, the points are all on a line (collinear)
The equation for slope is
m=+%28%28DELTA%29+y%29%2F%28%28DELTA%29+x%29
1.(1,9)
2.(7,3)
3.(10,0)
m%5B1%2C2%5D=%283-9%29%2F%287-1%29=-6%2F6=-1
m%5B2%2C3%5D=%280-3%29%2F%2810-7%29=-3%2F3=-1
m%5B1%2C3%5D=%280-9%29%2F%2810-1%29=-9%2F9=-1
All the slope match, those points are collinear.

4.(-2,-1)
5.(5,5)
6.(7,9)
m%5B4%2C5%5D=%285-%28-1%29%29%2F%285-%28-2%29%29=6%2F7
m%5B5%2C6%5D=%289-5%29%2F%287-5%29=4%2F2=2
Since the slopes don't match for the first two pair,
you know these points are not collinear.