JAMB - Mathematics (1984 - No. 10)
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
-3 = \(\frac{y + 4}{x + 1}\)
4y = -3 + x
\(\frac{y}{x}\) = \(\frac{-3}{4}\)
4x = y + 3
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
\(\frac{x}{1}\) = \(\frac{y}{4}\)
y = 4x
Hence the sign of the graph is y + 3 = 4x
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