A variable point p(x, y) traces a graph in a two-dimensional plane. (0, 3) is...

JAMB 1984

A variable point p(x, y) traces a graph in a two-dimensional plane. (0, 3) is one position of P. If x increases by 1 unit, y increases by 4 units. The equation of the graph is

A. -3 = \(\frac{y + 4}{x + 1}\)
B. 4y = -3 + x
C. \(\frac{y}{x}\) = \(\frac{-3}{4}\)
D. 4x = y + 3

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Correct Answer: Option D

Explanation

P(x, y), P(0, 3) If x increases by 1 unit and y by 4 units, then ratio of x : y = 1 : 4

\(\frac{x}{1}\) = \(\frac{y}{4}\)

y = 4x

Hence the sign of the graph is y + 3 = 4x

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