If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is
A
-4/3
B
-3/4
C
4/3
D
3/4
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
If the line 3y = 4x – 1 is parallel t[ line qy = x + 3
Implies gradient of 3y = 4x – 1
Y = 4/3x - 1/3
∴Gradient = 4/3
Gradient of line qy = x + 3
Y = 1/qx + 3/q
∴ Gradient = 1/q
4/3 = 1/q
4q = 3
Q = 3/4
Source: Myschool Past Questions Archive (Record #9246)