Question

Determine whether the points are
co-linear. (Three points are co-linear if they lie on the same line.)
(0, 4)
(7, -
6) (-5, 11)

Answer 1

three pionts like (x1,y1),(x2,y2)& (x3,y3) are said to be co-linear iff:
1/2*{x1(y2-y3)+x2(y3-y1)+x3(y1-y2)}=0

Answer 2

Assume they are co-linear. Then they all lie on some line y = mx + b
From point 1 (the y-intercept) we can see that b = 4 (4 = m(0) + b)
Plugging point 2 into this, we have:
-6 = 7m + 4
-10 = 7m
m = -10/7

Giving us a final equation: y = (-10/7)x + 4
Does the third point fit this equation?

Answer 3

11= -5m +4
7=-5m
m=-7/5

Answer 4

It doesn't fit right? @DDCamp

Answer 5

Right.

Answer 6

That means they're not co-linear?

Answer 7

Yes, they are not co-linear