Collinear
on the same line
Collinear refers to a group of points that lie on the same straight line. In other words, if three or more points are collinear, then they are all on the same line and there are no other points on the line except for those collinear points.
For example, if we have points A, B, and C, and all three of these points lie on a straight line, then they are collinear points. We can also say that line AC and line BC are collinear, because they both include points A and B.
To determine if a group of points is collinear, you can use the slope-intercept form of a linear equation, which is y=mx+b. If all the points satisfy the equation of the line (meaning they have the same slope and y-intercept), then they are collinear.
Collinear points are important in geometry and algebra because they allow us to easily describe and analyze the properties of lines and line segments. They are often used in proofs and geometric constructions, as well as in real-world applications such as navigation and engineering.
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