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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.
What else can I help you with?
If the points are on the same line then the points are collinear?
Three or more points that lie on the same straight line are called Collinear.
A set of points all of which lie on the same straight line?
Collinear set of points
Noncollinear points lie on the same line?
You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.
How many points are sufficient for drawing a straight line?
A minimum of two points is required to draw a straight line. Any two distinct points can be connected by a straight line, and this line will extend infinitely in both directions. Additional points can lie on the same line, but only two are necessary to define the line's direction and position.
What is a set of points that lie in a straight path extending forever in opposite directions?
A straight line of infinite length!
When you say three points collinear?
Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.
Points that lie on the same line are called?
Collinear lines lie on the same straight line
If the points are on the same line then the points are collinear?
Three or more points that lie on the same straight line are called Collinear.
A set of points all of which lie on the same straight line?
Collinear set of points
Do three random points lie on the same line?
they do, if the line is curved, otherwise it is infinitely unlikely, but possible that they lie on a straight line
What is the definition for a line graph in which data points do not fall along a straight line?
The definition is any chart where one or more points lie off the straight line joining the other points.
How does graphing relationships help you determine whether the relationship is proportional or not?
If the points lie on a straight line through the origin, the two variables are in direct proportion.
What are collinear points?
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.
Noncollinear points lie on the same line?
You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.
How many points are sufficient for drawing a straight line?
A minimum of two points is required to draw a straight line. Any two distinct points can be connected by a straight line, and this line will extend infinitely in both directions. Additional points can lie on the same line, but only two are necessary to define the line's direction and position.
What is a set of points that lie in a straight path extending forever in opposite directions?
A straight line of infinite length!
Do four points lie on the same plane?
Yes, when they are the coordinates of a straight line equation.
