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 you were to draw a line that passes through two or more points, then those points are said to be collinear.
When determining if points are collinear, you have to check if the slope between any two pairs of points is equal. If the slopes are equal or if the line passing through the points has a constant slope, then the points are collinear.
For example, consider three points A, B, and C. If the slope between A and B is equal to the slope between B and C, then A, B, and C are collinear. Similarly, if the slope between A and B is equal to the slope between A and C, then A, B, and C are collinear.
It’s worth noting that two points are always collinear since any two distinct points determine a unique line. Furthermore, collinear points can be found on a straight line or even on a curve if the curve is a straight line segment.
Understanding collinear points is crucial in various mathematical concepts, particularly in geometry, where they are used to define lines, line segments, and other geometric objects.
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