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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

  • Algebra -

    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

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