Given three points, a (- 1, - 1) B (3,3) C (4,5): three points collinear | Math enthusiast | Mathematical art

Given three points, a (- 1, - 1) B (3,3) C (4,5): three points collinear

1. Establish the coordinate system, and use the parallel and common points between vectors
2. According to the two points, find the linear equation and verify that the other point is on it

It is known that a (- 8, - 6), B (- 3, - 1) and C (5,7) are collinear

First write the linear equation of any two points, and then substitute another point into the equation
as follows
Let the line passing B and C be y = KX + B
yes
-1=-3*k+b
7=5*k+b
The solution is k = 1, B = 2
So the linear equation is y = x + 2
Obviously point a is on the line
So the three points are collinear
Get proof

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