You are given the equation 36 = 9x² + 4y². You are asked to find the slopes of the asymptotes of the hyperbola. A hyperbola has the following general equation x²/a² + y²/b² = 1. the goal here is to find the slopes of the hyperbolic equation. So divide both sides by 36
36 = 9x² + 4y² (1/36)[36 = 9x² + 4y²] 1 = x²/4 + y²/9 a² = 4 a = 2 and b² = 9 b = 3
To find the slope, divide a/b and you will get 2/3.
