SOLUTION: Are the following linear equation lines parallel or not? 3 x + 2 y = 6 6 x + 4 y = 8

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Question 596095: Are the following linear equation lines parallel or not?

3 x + 2 y = 6

6 x + 4 y = 8
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
. Two lines are parallel if they have the same slope (and they are not the same line.) Translate these equations to slope-intercept form (y=mx+b) and you can read their slopes as the coefficient of the x-term (m).
.
3x%2B2y=6
2y=-3x%2B6
y=-%283%2F2%29x%2B3
.
6x%2B4y=8
4y=-6x%2B8
y=-%283%2F2%29x%2B2
.
We see that both lines have a slope of -3/2. They are not the same line because the y-intercepts (b) are 3 and 2, respectively.
.
The lines are parallel.
.
Feel free to email with any questions,
Ms.Figgy
math.in.the.vortex@gmail.com