Using the method of slopes show that the following points are collinear: A(16, – 18), B(3, – 6), C(– 10, 6)

Question

Philoid · Accepted 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.