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What is the value of $a$ if the lines 2y - 2a = 6x and y + 1 = (a + 6)x are parallel?

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What is the value of $a$ if the lines 2y - 2a =...

in this question, it is hard and I can't solve it. can any of you guys help me?

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perpendicular lines
parallel lines
algebra problems

asked Apr 28, 2018 in Algebra 1 Answers by anonymous

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1 Answer

When two lines are parallel they have the same gradient, which means that the x coefficient is the same for each when the equations are both in standard form y=mx+b.

2y-2a=6x is the same as y=3x+a so the gradient is 3.

y=(a+6)x-1 so a+6=3 and a=-3.

answered Apr 28, 2018 by Rod Top Rated User (1.1m points)

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