Asked by Alexis
Given the hyperbola (x2/4) – (y2/9) = 1, find the equations for its asymptotes
A. x = (1/3)y, x = (–1/3)y
B. y = (3/2)x, y = (–3/2)x
C. y = (1/3)x, y = (–1/3)x
D. x = (3/2)y, x = (–3/2)y
A. x = (1/3)y, x = (–1/3)y
B. y = (3/2)x, y = (–3/2)x
C. y = (1/3)x, y = (–1/3)x
D. x = (3/2)y, x = (–3/2)y
Answers
Answered by
Steve
If you can't recall the formula, just reason it out. As x,y get big, the equation just looks like
x^2/4 = y^2/9
9x^2 = 4y^2
3x = 2y
y = 3/2 x or -3/2 x
x^2/4 = y^2/9
9x^2 = 4y^2
3x = 2y
y = 3/2 x or -3/2 x