SOLUTION: By examining two linear equations, how can you tell that the graph of the lines will be parallel?

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Question 332845: By examining two linear equations, how can you tell that the graph of the lines will be parallel?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Given a pair of equations of the form:



And



If



such that:





and



then the graphs of the two functions will be a pair of distinct parallel lines.

On the other hand, if



such that:





and



Then the graphs of the two functions will be two instances of the identically same line.

Another way to look at it, and probably easier to tell just by looking:








John

My calculator said it, I believe it, that settles it