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
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