Answer: (3,-4).
- A (3,-4)
- B -3,4)
- C (-3,-4)
- D (6,-8)
Correct answer: A. (3,-4)
Explanation: General form: x² + y² + 2gx + 2fy + c = 0. Centre = (-g,-f). 2g = -6, g = -3; 2f = 8, f = 4. Centre = (3,-4).
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.