They are points on the line,.
If the line is a straight line the points are said to be colinear
If all the points are on a line with an equation of the form (x - X)² + (y - Y)² = r² then the points are all points on the circumference of a circle with centre (X, Y) and radius r.
Chat with our AI personalities
The word you're looking for is "colinear". Any two points are always colinear. (That is, it is always possible to draw a line between two points, making them by default colinear. Colinear starts to look really funny if you write it enough times.
Not necessarily. Coplanar means that points lie on the same plane whereas collinear means that points lie on the same line. Points on a plane do not necessarily lie along the same line.
A line is undefined because all points on the line have the same x-coordinate.
Yes, a plane containing 2 points of a line contains the entire line. Let us consider two points on a plane and then draw a line segment joining those two points. Since the points lie on the plane so line segment has to lie completely on that plane too. Now if we extend the line segment indefinitely in both directions we get a line and that line also has to lie on the same plane since some definite part(line segment) of it(line) also lies on the same plane.
Any two points on a vertical line. For example, the line x=7 is a vertical line with undefined slope. Every point (7,y) where y is any real number, lies on the same line.
As defined by Math Open Reference: collinear points are points that lie on the same line. Any series of points with a yvalue of 4, for example, will be collinear since they lie on the same line. Lines formed by collinear points can have any slope and be located anywhere on a co-ordinate plane. The Math Open Reference link shows a working visual example of collinear points.