collinear points
Collinear points are points that lie on the same straight line
Collinear points are points that lie on the same straight line. In other words, if there are three or more points on a line, then they are collinear.
To check if points A, B, and C are collinear, we can use the slope formula. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
slope = (y2 – y1) / (x2 – x1)
For example, let’s say we have the points A(2, 3), B(4, 5), and C(6, 7). We can calculate the slope of the line passing through A and B, and also the slope of the line passing through B and C. If these two slopes are equal, then it means that points A, B, and C are collinear.
Slope of line AB = (5 – 3) / (4 – 2) = 2 / 2 = 1
Slope of line BC = (7 – 5) / (6 – 4) = 2 / 2 = 1
Since the slopes of both lines are equal, we can conclude that points A, B, and C are collinear.
It is important to note that if the slopes are not equal, then the points are not collinear.
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