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Are the points (1,0) and (0,1) collinear?
What is a line to you?Zubair Ahmad said:Are the points (1,0) and (0,1) collinear?
Combination of collinear pointsfresh_42 said:What is a line to you?
Same as you understoodStephen Tashi said:Are you asking if (1,0) and (0,1) are collinear with each other ? - or did you intend to ask a different question?
To say what colinear is, you first have to say what linear is, in this case a line. You cannot define colinear by line and line by colinear at the same time. In this case they would be equivalent and the answer would be trivially yes. So in order to get some meaning to the question, you have to put some truth in it somewhere. That's why I asked, what a line is to you. How can I answer a question about colinear points, if it isn't clear what a line is?Zubair Ahmad said:Combination of collinear points
Yes, (1,0) and (0,1) are collinear points because they lie on the same line. In this case, they both lie on the line y = x.
Collinear points are points that lie on the same line. This means that they share a common straight path and can be connected by a straight line segment.
Yes, collinear points can be in any position on a line. As long as they share the same line and can be connected by a straight line segment, they are considered collinear.
To determine if three points are collinear, we can use the slope formula to calculate the slopes of the lines formed by connecting the points. If all three slopes are equal, then the points are collinear.
Knowing if points are collinear can be helpful in geometry and other mathematical applications. It allows us to accurately represent and measure distances and angles, and can also help in problem-solving and making predictions.