SOLUTION: how do you know if two lines intersect if you have only the equations? For example, if you have {{{ 8p=12-2q }}} and {{{ 4p=6-q }}}, how do you find out how they relate to each ot

Question 596572: how do you know if two lines intersect if you have only the equations? For example, if you have and , how do you find out how they relate to each other?
Thank you!
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
how do you know if two lines intersect if you have only the equations? For example, if you have and , how do you find out how they relate to each other?
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The 1st eqn is 2x the 2nd --> it's the same line.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how do you know if two lines intersect if you have only the equations? For example, if you have and , how do you find out how they relate to each other?
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For example, if you have and , how do you find out how they relate to each other?

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Put the equations in slope-intercept form:
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p = (-1/4)q + (3/2)
p = (-1/4)q + (3/2)
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The 2 lines are the same.
Cheers,
Stan H.

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