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1
chord
Yes, when they are the coordinates of a straight line equation.
3x-y=2 3x=y+2 y=3x-2 Some points: (0.-2)(1,1)(2.4)
Take any two points and form the equation for a straight line. If all the remaining points satisfy the equation, then they lie on astraight line. Else, they don't. Here's an example. Consider n points as P1(x1, y1), P2(x2, y2), ...., Pn(xn, yn). In order to determine if P1, P2, ..., Pn lie on a straight line, form the straight line equation with P1 and P2 as: y-y1= m * (x - x1), where the slope m = (y2-y1)/(x2-x1). Then try to satisfy this equation by the remaining points P3, P4, ..., Pn. That is, verify the following: Is y3-y1= m * (x3 - x1)? Is y4-y1= m * (x4 - x1)? ... Is yn-y1= m * (xn - x1)? If all of the above is true, then the points lie on a straight line.
1
chord
Yes, when they are the coordinates of a straight line equation.
3x-y=2 3x=y+2 y=3x-2 Some points: (0.-2)(1,1)(2.4)
Take any two points and form the equation for a straight line. If all the remaining points satisfy the equation, then they lie on astraight line. Else, they don't. Here's an example. Consider n points as P1(x1, y1), P2(x2, y2), ...., Pn(xn, yn). In order to determine if P1, P2, ..., Pn lie on a straight line, form the straight line equation with P1 and P2 as: y-y1= m * (x - x1), where the slope m = (y2-y1)/(x2-x1). Then try to satisfy this equation by the remaining points P3, P4, ..., Pn. That is, verify the following: Is y3-y1= m * (x3 - x1)? Is y4-y1= m * (x4 - x1)? ... Is yn-y1= m * (xn - x1)? If all of the above is true, then the points lie on a straight line.
Any two points lie on the same line, since a line can be drawn through any two points.Three points that lie on the same line are described as being "collinear" points.
Points on the same line are collinear (co-linear) points.
They satisfy the equation x + y = 0
Yes.
Collinear points are points that lie on the same line. Noncollinear points do not lie on the same line. Any two points are always collinear, i.e. forming a line. Three or more points can be collinear along a single line.Collinear points lies on the same straight line.
Collinear pointsPoints that lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are non collinear points.
they are noncolinear if there are more than 2 points, if not then any two points always lie on the same line