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# What are the points of intersection when the line y -x equals 7 spans the curve y equals 8 over x on the Cartesian plane?

Updated: 12/16/2022

Wiki User

7y ago

If: y -x = 7

Then: y = 7+x

If: y = 8/x

Then: xy = 8

Therefore it follows that: x(7+x) = 8

So: 7x+x^2 = 8 => 7x^2 -8 = 0

Using the quadratic equation formula: x = -8 or x = 1

By substitution the line intercepts the curve at (-8, -1) and (1, 8)

Wiki User

7y ago

Wiki User

7y ago

They are (-8, -1) and (1, 8).

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Q: What are the points of intersection when the line y -x equals 7 spans the curve y equals 8 over x on the Cartesian plane?
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