Forming an Equation of a Hyperbola Given 2 Points

Here is how to form an equation of a hyperbola when given just 2 points. The points given are (4,4) and (6,5). The final equation gives you
y= -12/x +7 which you can’t really see because of the glare. This is assuming just one vertical transformation so the general formula used is
y= a/x +c.

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