Question

find the relation b/w x and y if the points (x,y),(1,2), and (7,0) are collenior

Answer 1

(x,y) , (1,2) and (7,0) are collinear points.

So slope of any two points must be same.

So, (y-2)/(x-1) = (0-2)/(7-1)
So, (y-2)/(x-1) = (-1/3)
So, 3(y-2) = -(x-1)
So, 3y - 6 = -x + 1
So, x + 3y = 7

Thus , for given points to be collinear, x and y must be related as:

x + 3y = 7

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