Math CentralQuandaries & Queries


Question from Megan:

How do i find the interception points of xy=-2 and y=x+3? Many thanks!

Hi Megan,

Since $y = x + 3$ you can substitute this into the first equation to get

\[xy = x(x+3) = -2.\]

Simplify and solve the resulting quadratic equation for $x.$ Find the $y$ value for each of the resulting $x$ values using $y = x + 3.$

I am a strong believer in using a graphic approach to see if my answer makes sense In this case I got



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