Using the method of slopes show that the following points are collinear:

Question

Using the method of slopes show that the following points are collinear: A(4, 8), b(5, 12), C(9, 28)

Philoid · Accepted Answer

We have three points given A(4, 8), b(5, 12), C(9, 28)

To Prove: Given Points are collinear

Proof: A(4, 8), B(5, 12), C(9, 28)

The formula used: The slope of the line =

The slope of line AB =

AB =

The slope of line BC =

BC = = 4

The slope of line CA =

Here, AB = BC = CA

Hence, The Given points are collinear.