Question

2. Determine whether the points are collinear.
(1) A(1, -3), B(2,-5), C(-4,7)​

Answer 1

Answer:

Given points are collinear.

Step-by-step explanation:

For collinearity

slope of m(AB)=slope of m(BC)=slope of m(CA)

where m=y2-y1 / x2-x1

slope of m(AB) = -5 + 3 / 2 - 1 = -2

slope of m(BC) = 7 + 5 / -4 -2 = -2

slope of m(CA) = -3 -7 / 1 +4 = -2

Hence slope of m(AB)=slope of m(BC)=slope of m(CA).