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The answer is p = -2/3 and q= -2

The answer is p = -2/3 and q= -2-example-1

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y=(p)/(q+x)\\\\(1)/(y)=(1)/((p)/(q+x))=(q+x)/(p)

We have x and y intercept:

(2, 0) and (0, 3).

Substitute the coordinates of points to the equation:


(2,\ 0)\\\\0=(q+2)/(p)\to q+2=0\to q=-2\\\\(0,\ 3)\\3=(q+0)/(p)\to3p=q\to3p=-2\to p=-(2)/(3)

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