Mid-point of P(−4, 5) and Q(4, 6) = $\left(\dfrac{-4+4}{2},\ \dfrac{5+6}{2}\right) = \left(0,\ \dfrac{11}{2}\right)$.
Since x = 0 and y ≠ 0, the point lies on the y-axis. → (B)
Source: Chapter 7, Section 7.3 (Mid-point formula)
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A point lies on the y-axis if its x-coordinate is 0. Using the mid-point formula, the x-coordinate comes out to 0 and y-coordinate to 5.5 (non-zero), confirming it is on the y-axis, not the x-axis or origin. Always check both coordinates before choosing the option.