Which is a set of conllinear points
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A set of conllinear points is a set of points that all lie on the same line. For example, (2,3), (4,5), (6,7) are all conllinear points.
Sure! I'd be happy to help you identify a set of collinear points.
Collinear points are points that lie on the same straight line. To determine if a set of points is collinear, we need to check if they satisfy the condition for collinearity. The condition states that for any three points A, B, and C, if the slopes of the lines AB and BC are equal, then the points A, B, and C are collinear.
So, here's how you can check if a set of points is collinear:
1. Select any three points from the given set.
2. Calculate the slope of the line formed by the first two points (let's call them A and B). You can find the slope using the formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively.
3. Repeat step 2 for the line formed by points B and the third point (let's call it C).
4. If the slopes of both line segments AB and BC are equal, then the points A, B, and C are collinear.
5. Repeat this process for different combinations of three points from the given set.
6. If after checking all possible combinations, all sets of three points satisfy the collinearity condition, then the entire set of points is collinear.
It's important to note that if even a single set of three points does not satisfy the collinearity condition, then the entire set of points is not collinear.
I hope this helps! Let me know if you have any further questions.
A set of collinear points is a set of points that lie on the same straight line. To determine if a set of points is collinear, you can follow these steps:
Step 1: Select three points from the given set.
Step 2: Calculate the slope between the first two points using the formula:
slope = (y2 - y1) / (x2 - x1)
Step 3: Calculate the slope between the second and third points using the same formula.
Step 4: If the slopes from step 2 and step 3 are equal, then the three chosen points are collinear.
If all combinations of three points from the given set have equal slopes, then the entire set of points is collinear.