SOLUTION: Determine whether the graph of the are parallel. x+13=y 2y=6x-3

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Question 247167: Determine whether the graph of the are parallel.
x+13=y
2y=6x-3
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
In order for two lines be parallel, they must have the same slope.
If we convert all equations to this pattern: y=mx+b, m would be our slope.
So, let's compare them:

y=x+13 ... its slope is 1

2y=6x-3
y=3x-(3/2) ... its slope is 3

Since the slopes are different, we know they are not parallel.
Below is how the lines would look like in the cartesian plane.
The red line represents x%2B13
The green line represents 3x-%283%2F2%29

graph+%28500%2C+500%2C+-50%2C+50%2C+-50%2C+50%2C+x%2B13%2C+3x-%283%2F2%29%29