Question

$\tt\dashrightarrow{Question:-}$

Determine Whether Point Are Collinear .

A ( 1 , -3) , B ( 2 , - 5) , C ( -4 , 7)
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Answer 1

Step-by-step explanation:

A(1,−3),B(2,−5),C(−4,7)

AB=√(1−2)2+(−3−(−5))2

√(−1)2+22=

√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.

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