Given p is not equal to q is not equal to 0 , what is the equation of the line that passes through the points open paren negative p comma negative q close paren and open paren p comma q close paren ?

The slope through (−p, −q) and (p, q) is (q − (−q))/(p − (−p)) = 2q/2p = q/p. The line also passes through the origin, since the two points are opposites, so its equation is y = (q/p)x. This is choice B, “y is equal to q over p x.”

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