Question

Show th set of points (1,3),(-2,-6),(2,6) are collinear

Answer 1

Given:

A set of points (1,3),(-2,-6), and (2,6).

To prove:

The set of points are collinear.

Solution:

If the three points P (1, 3), Q (-2, -6), and R (2, 6) are collinear, then the slopes of any two pairs of points will be equal.

Slope = $\frac{y_{2} - y_{1}}{x_{2} - x _{1}}$

Slope of PQ = (-6-3) / (-2-1) = 3

Slope of QR = (6 + 6) / (2 + 2) = 3

 

Since slopes of any two pairs of points are the same, this proves that P, Q and R are collinear points.