SOLUTION: Can someone please help me with this one? Are the two lines with equations 2x + 3y = 8 and 3x + 2y = 7 parallel, perpendicular or neither? Tell (algebraically) how you know.

Question 85805: Can someone please help me with this one? Are the two lines with equations 2x + 3y = 8 and 3x + 2y = 7 parallel, perpendicular or neither? Tell (algebraically) how you know.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Are the two lines with equations 2x + 3y = 8 and 3x + 2y = 7 parallel, perpendicular or neither?
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Solve each equation for y:
y=(-2/3)x + (8/3)
y=(-3/2)x + (7/2)
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The 1st has slope -2/3
The 2nd has slope -3/2
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The lines are not parallel because the slopes are not the same.
The lines are not perpendicular because the product of the slopes is not -1.
So the lines are neither parallel nor perpendicular.
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Cheers,
stan H.
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