Question

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

Answer 1

here is your ans. mate

Answer 2

= if given points collinear then area of triangle formed by the must be zero.

left (x , y) , (1 , 2) and (7 , 0) are vertices of a triangle.

Area of triangle = 1 / 2 (x^1(y^2 - y^3) + x^2 (y^3 - y^1) + x^3(y^1 - y^2)) = 0

1/2 [x(2 - 0) + 1 (0 - y) + 7(y - 2)] = 0

=> 2 x - y + 7y - 14 = 0

=> 2x + 6y - 14 = 0

=> x + 3y - 7 = 0.

which is required result.