Question

Determine whether points A (3, 1), B (5, 3) and C (9, 7) are collinear or not.​

Answer 1

Answer:

Answer

A(1,−3),B(2,−5),C(−4,7)

AB=

(1−2)

2

+(−3−(−5))

2

(−1)

2

+2

2

=

5

BC=

(2−(−4))

2

+(−5−7)

2

36+144

180

=6

5

AC=

(−1−(−4))

2

+(−3−7)

2

=

25+100

=

125

=5

5

AB+AC=BC

5

+5

5

=6

5

Thus,the given points lie on the same line.Hence,they are collinear.