If $y = 4x - 5$ is a tangent to the curve $y^{2} = px^{3} + q$ at $(2, 3)$, then $p-q$ is
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Remember that the slope of the tangent to a curve at a given point is found by evaluating the derivative of the curve's equation at that point. If a line is tangent to a curve, their slopes at the point of tangency must be equal, and the point of tangency must satisfy both the curve's and the line's equations.