find a relation between x and y if the points (x ,y) (1, 2) and (7 ,0) are collinear
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(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
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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