Given three points a (1,3), B (- 2,0), C (12,4), try to judge whether these three points are on the same straight line, and explain the reason

Given three points a (1,3), B (- 2,0), C (12,4), try to judge whether these three points are on the same straight line, and explain the reason

First, the equation of the straight line passing through two points AB is obtained, and y = x + 2
And then we see that C (12,4) is not in the above equation,
Because 4 is not 12 + 2
So the three points are not in the same line