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OAU Post-UTME Mathematics 2021 (Batch B) Question 9

Question 9

Coordinate Geometry

Find the equation of the line which is parallel to the line 5x + 4y = 9 and makes an intercept of 4 units on the x-axis.

  1. A.5x − 4y = 9
  2. B.5y + 4x = 20
  3. C.5y − 5x = 20
  4. D.4y + 5x = 20
Show the answer and explanation

Answer: D (4y + 5x = 20)

Explanation

A parallel line has the form 5x + 4y = c. It passes through (4, 0), so c = 20: 4y + 5x = 20.