Answer: √5/3.
- A √5/3
- B 2/3
- C 1/3
- D √7/3
Correct answer: A. √5/3
Explanation: Divide by 36: x²/9 + y²/4 = 1. So a²=9, b²=4 (a>b, major axis along x). c²=a²−b²=9−4=5. Eccentricity e=c/a=√5/3. Ans: √5/3.
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.