Lines y=(3a+2)x-2 and 2y=(a-4)x+2 are parallel. What is the value of a?
Parallel lines: y = (3a + 2)x - 2
2y = (a - 4)x + 2 ---> y = [ (a - 4)/2 ]x + 1
Since the lines are parallel, the slopes are equal:
3a + 2 = (a - 4)/2
6a + 4 = a - 4
5a = - 8
a = -8/5
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