Answer: (−1, −4).
- A (−1, −4)
- B (1, 4)
- C (−1, 4)
- D (1, −4)
Correct answer: A. (−1, −4)
Explanation: With a=1, b=3, value = 3+24−7 = 20 and a²+b² = 10. Image = (3 − 2·1·20/10, 8 − 2·3·20/10) = (−1, −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.