SOLUTION: Show that the line 3x+2y=12 is parallel to the line 6x+4y=9

Question 1023162: Show that the line 3x+2y=12 is parallel to the line 6x+4y=9
Found 3 solutions by robertb, Cromlix, Alan3354:
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
6x+4y = 9 is equivalent to 3x+2y = 9/2 after dividing both sides by 2.
Since this only differs from 3x+2y = 12 by the constant on the right-hand side, the two lines are parallel.
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
Sort equations into y = mx + c form:
3x + 2y = 12
2y = -3x + 12
y = -3/2x + 6
Gradient = -3/2
............
6x + 4y = 9
4y = -6x + 9
y = -6/4x + 9/4
Gradient = -6/4 = -3/2
............
Lines that are parallel have
gradients that equal one another.
m1 = m2
-3/2 = -3/2
Hope this helps :-)
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Show that the line 3x+2y=12 is parallel to the line 6x+4y=9
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find the slope of each line.
If the slopes are equal, the lines are either parallel or coincident.
If the y-intercepts are different, but slopes are equal, they're parallel.
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