SOLUTION: How do you graph xy=10 and can you explain it.

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Question 202209This question is from textbook algebra 2 and triogonometry
: How do you graph xy=10 and can you explain it. This question is from textbook algebra 2 and triogonometry

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do you graph xy=10 and can you explain it.
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Since xy = 10 the product of x and y is always 10
Points: (-10,-1)(-5,-2)(-2,-5)(-1,-10)
(1,10)(2,5)(5,2)(10,1)
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Plot those points and draw a smooth curve thru them to get:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C10%2Fx%29
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Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can tell some general things about xy+=+10
The graph is confined to the 1st and 3rd quadrants
(+)(+) solutions exist
(-)(+) no solutions exist
(-)(-) solutions exist
(+)(-) no solutions exist
Neither x nor y can be 0
In both 1st and 3rd quadrants, the curves are
symmetrical about the line y+=+x because
if I replace x with y and y with x,
the equation doesn't know the difference
I'll graph it along with y=x
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+1%2Fx%2C+x%29+