Determine whether the points A2 6 B1 2 and C7 6 are collinea

Determine whether the points A(-2, 6), B(1, 2), and C(7, -6) are collinear. Select your answer.

Question 16 options:

No, the points A, B, and C are NOT collinear.

Yes, the points are collinear because the slope(AB)= - 4/3 and slope of (BC)= - 4/3.

Yes, the points are collinear because the slope(AB)= - 3/4 and slope of (BC)= - 3/4.

Solution

If slope of AB=slope of BC the points are collinear

Slope of two points (x1,y1) and (x2,y2) = (y2-y1)/(x2-x1)

A(-2, 6), B(1, 2), and C(7, -6)

the slope of AB = (2-6)/(1+2) = -4/3

ANd the slope BC = (-6-2)/(7-1) = -8/6 = -4/3

Since the slope of AB=slope of BC , therefore the given points are collinear.

Ans : B.

Yes, the points are collinear because the slope(AB)= - 4/3 and slope of (BC)= - 4/3.