SOLUTION: are the graph of the lines in the pair parallel?explain y=5x+6 -18+3y=-54

Question 249105: are the graph of the lines in the pair parallel?explain
y=5x+6
-18+3y=-54
Answer by College Student(505) (Show Source): You can put this solution on YOUR website!
Are the graph of the lines in the pair parallel? Explain.
y=5x+6 ...and... -18+3y=-54

Facts:
1. Two parallel lines share the same slope.
2. To determine a slope, express the equations in this form:
3. m = slope

<--- already in y=mx+b form

<--- there is no x value, thus we cannot express it in y=mx+b form

The answer is: they are not parallel because they do not share the same slope.

Here is how the graph of looks like:

The slope of is zero, because it represents a horizontal line in the cartesian plane.
We know that a slope = rise/run... in this case there is no rise and the run goes to infinity (+ and - directions). When zero is divided by any number, the result is zero... thus the slope is zero.
Here is how the graph of looks like:

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