Q. 3

Prove that for any number x, the point (x, 2x + 3) is on the line joining (–1, 1), (2, 7).

Answer :

Slope of the line


Slope of the line = 2


Equation of line :


y - 2 = 2(x - 7)


2x - y - 12 = 0


Putting x = x and y = 2x + 3 in the above equation we get


2x - (2x + 3) - 12 = 0


which satisfies the above equation


Hence Proved


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