Midpoint of A(2, 4) and B(6, 10) is:

To find the midpoint between two points $A(x_1, y_1)$ and $B(x_2, y_2)$, we use the Midpoint Formula: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ ### Step 1: Identify the coordinates From the given points $A(2, 4)$ and $B(6, 10)$: - $x_1 = 2, y_1 = 4$ - $x_2 = 6, y_2 = 10$ ### Step 2: Calculate the x-coordinate $$x_M = \frac{2 + 6}{2} = \frac{8}{2} = 4$$ ### Step 3: Calculate the y-coordinate $$y_M = \frac{4 + 10}{2} = \frac{14}{2} = 7$$ ### Conclusion The midpoint is $(4, 7)$. This corresponds to option B.