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

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