Question

Verify that whether the points (1, 5), (2, 3) and (-2, -1) are collinear or not

Answer 1

Answer:

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Answer 2

In order to check whether 3 points are collinear,

Check if thier slopes are equal

Collinear points are those points that lie on a straight line. Therefore if the 3 points (1,5) , (2,3) & (-2,-1) lie on the same straight line, then thier slopes should be equal.

Let the slope be (generally) represented by 'm'

$m = \frac{y2 - y1}{x2 - x1}$

First take 2 points (1,5) and (2,3)

slope m = (3-5)÷(2-1) = -2

Now, take the other two points (2,3) and (-2,-1)

slope m = (-1-3)÷(-2-2) = 1

Since the slopes are not equal, the points are not collinear.

Hence Verified !

Hope this helps

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