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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32342)