Mathematics

If the lines 3y = 4x – 1 and qy = x + 3 are…

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
Correct Answer: Option D
Explanation

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/q4/3 = 1/q
4q = 3
Q = 3/4