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For which value of \(k\), lines \(x+2y=9\) and \(kx+4y=-5\) are parallel?

Question and options

For which value of kk, lines x+2y=9x+2y=9 and kx+4y=−5kx+4y=-5 are parallel?
  1. 2
  2. 5
  3. 3
  4. 1

Answer and explanation

Correct answer: A - 2
Slopes: -1/2 and -k/4. Parallel when k/4 = 1/2, so k = 2 (intercepts 9/2 vs -5/4 differ, so lines are distinct).

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