A straight line makes intercepts of -3 and 2 on the x and y axes

FURTHER MATHEMATICS
WAEC 2022

A straight line makes intercepts of -3 and 2 on the x and y axes respectively. Find the equation of the line.

  • A. 2x + 3y + 6 = 0
  • B. 3x - 2y - 6 = 0
  • C. -3x 2y - 6 = 0
  • D. -2x + 3y - 6 = 0

Correct Answer: D. -2x + 3y - 6 = 0

Explanation

Recall:

x
a
+y
b
=1

Where 'a' and 'b' are the x and y intercept respectively.

x
-3
+y
2
=1

2x-3y = -6

2x - 3y + 6 = 0 -------(1)

multiply through by -1

-2x + 3y - 6 = 0



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