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Find the equation of the line which passes through (-4, 3) and parallel to line...

Further Mathematics
WAEC 2016

Find the equation of the line which passes through (-4, 3) and parallel to line y =  2x + 5.

  • A. y = 2x + 11
  • B. y = 3x + 11
  • B. y = 3x - 5
  • C. y = 2x - 11
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Correct Answer: Option A
Explanation

The gradient of the line y = 2x + 5 ;

\(\frac{\mathrm d y}{\mathrm d x} = 2\)

\(\frac{y - 3}{x - (-4)} = \frac{y-3}{x+4} = 2\)

\(y - 3 = 2(x + 4) \implies y = 2x + 11\)


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