Q. 5 B4.8( 6 Votes )
Using the method of slopes show that the following points are collinear:
A(16, – 18), B(3, – 6), C(– 10, 6)
Answer :
We have three points given A(16, – 18), B(3, – 6), C(– 10, 6)
To Prove: Given Points are collinear
Proof: AB[(16, – 18),(3, – 6)], BC[(3, – 6),(– 10, 6)], CA[(– 10, 6),(16, – 18)]
Formula used: The slope of the line = 
The slope of line AB = 
AB = 
The slope of line BC = 
BC = 
The slope of line CA = 
CA = 
Here, AB = BC = CA
Hence, The Given points are collinear.
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