Answer: 4x + 3y = 17.
- A 3x − 4y = −6
- B 4x + 3y = 17
- C 4x − 3y = −1
- D 3x + 4y = 18
Correct answer: B. 4x + 3y = 17
Explanation: Perpendicular slope = −4/3. Through (2,3): y − 3 = −(4/3)(x − 2), i.e. 4x + 3y = 17.
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.