SOLUTION: Determine if the graphs of the given equations are parallel. y=3x+2 7y+3x=6 Are the graphs of the given equations parallel?

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Question 763508: Determine if the graphs of the given equations are parallel.
y=3x+2
7y+3x=6
Are the graphs of the given equations parallel?
Answer by algebrahouse.com(1659) About Me  (Show Source):
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Parallel lines have equal slopes.

Slope intercept form is y = mx + b
m is the slope
b is the y-intercept

The first line:
y = 3x + 2
has a slope of 3

The second line:
7y + 3x = 6
7y = -3x + 6 {subtracted 3x from each side}
y = (-3/7)x + (6/7) {divided each side by 7}
has a slope of -3/7

The two lines are not parallel because the slopes are different.

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