Understanding Collinear Points | Definition, Test, and Importance

collinear points

Collinear points are points that lie on the same straight line

Collinear points are points that lie on the same straight line. These points are said to be collinear because they can be connected with a single straight line without any curves or bends. In other words, if three or more points are collinear, it means that they can all be lined up in a straight line.

To determine if points are collinear, you can use the collinearity test. This test involves calculating the slopes of the line segments formed between each pair of points. If all the slopes are equal, then the points are collinear. Another way to check collinearity is to calculate the area of the triangle formed by the points. If the area is zero, then the points are collinear.

It is important to note that any two points can be considered collinear because a line can be drawn through any two points. However, when we refer to collinear points, we typically mean three or more points lying on the same line.

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