Answer: y = ±(b/a)x.
- A y = ±(a/b)x
- B y = ±(b/a)x
- C y = ±a
- D y = ±b
Correct answer: B. y = ±(b/a)x
Explanation: Set y²/b² = x²/a² (hyperbola approaches these lines). Rearranging: y/b = ±x/a, so y = ±(b/a)x. These lines pass through the origin with slopes ±b/a. Ans: y = ±(b/a)x.
The slope of a line is the ratio of vertical change (rise) to horizontal change (run) between any two points on it - equivalently, the tangent of the angle θ the line makes with the positive x-axis.