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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Prove that for any point on the line intersecting the axes in this picture, the sum of the x and y coordinates is 3.

Kerala Board Mathematics Part-2

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Kerala Board Mathematics Part-2

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