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

Further Mathematics
WAEC 2012

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
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Correct Answer: Option D
Explanation

Equation of a straight line : y = mx + b

where m = the slope of the line

b = y- intercept

Given the two points (-3, 0) and (0, 2).

\(m = \frac{2 - 0}{0 - (-3)} = \frac{2}{3}\)

\(y = \frac{2}{3}x + 2 \implies 3y = 2x + 6\)

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


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