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Lines y=(3a+2)x-2 and 2y=(a-4)x+2 are parallel. What is the value of a?

 Apr 20, 2020
 #1
avatar+20810 
+1

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

 Apr 20, 2020
 #2
avatar+127 
+1

Thank You So Much!

CPhilFanboy  Apr 20, 2020

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