What makes three points collinear

In a given plane, three or more points that lie on the same straight line are called collinear points. Two points are always in a straight line. In geometry, collinearity of a set of points is the property of the points lying on a single line. A set of points with this property is said to be collinear. In general we can say that points that are aligned in a line or a row. Consider a straight line in the above cartesian plane formed by x axis and y axis. The three points A 2, 4 , B 4, 6 and C 6, 8 are lying on the same straight line L.

These three points are said to be collinear points. There are two methods to find whether the three points are collinear or not they are:. One is the Slope Formula method and. The other is the Area of Triangle method. Three points are collinear, if the slope of any two pairs of points is the same. Prove that the three points R 2, 4 , S 4, 6 and T 6, 8 are Collinear. If the three points R 2, 4 , S 4, 6 and T 6, 8 are collinear, then slopes of any two pairs of points will be equal.

Use slope formula to find the slopes of the respective pairs of points:. Rajan Mittal 27 Feb 0 0. Looking for GRE Coaching classes? Find Now. Are you a Tutor or Training Institute? Join UrbanPro Today to find students near you. Which one is better to prepare for GRE vocabulary Barron's ,Barron's , Magoosh vocab, Manhattan or majortest? Please do reply. How can I start GRE preparation from basic to advanced level with resources at home?

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