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find then equation line through (5, 7) parallel to the line 7x + 5y =...

Mathematics
JAMB 1992

find then equation line through (5, 7) parallel to the line 7x + 5y = 12
  • A. 5x + 7y = 120
  • B. 7x + 5y = 70
  • C. x + y = 7
  • D. 15x + 17y = 90
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Correct Answer: Option B
Explanation
Equation (5, 7) parallel to the line 7x + 5y = 12

5Y = -7x + 12

y = \(\frac{-7x}{5}\) + \(\frac{12}{5}\)

Gradient = \(\frac{-7}{5}\)

∴ Required equation = \(\frac{y - 7}{x - 5}\) = \(\frac{-7}{5}\) i.e. 5y - 35 = -7x + 35

5y + 7x = 70

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