Question 11
Coordinate GeometryWhich of the following lines is not parallel to the line 3y + 2x + 7 = 0?
- A.3y + 2x − 7 = 0
- B.9y + 6x + 17 = 0
- C.24y + 16x + 19 = 0
- D.3y − 2x + 7 = 0
- E.15y + 10x − 13 = 0.
Show the answer and explanation
Answer: D (3y − 2x + 7 = 0)
Explanation
Parallel lines have the same ratio of x to y coefficients (2 : 3). All options keep 2 : 3 except 3y − 2x + 7 = 0, whose gradient is +2/3 instead of −2/3.