Midpoint $$ 9,3) $$ and $$ (6,7) $$

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1. The midpoint $$ M $$ of two points $$(x_1,y_1)$$ and $$(x_2,y_2)$$ is given by:
   $$
   M = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)
   $$

2. For the points $$(9,3)$$ and $$(6,7)$$, assign:
   $$
   x_1 = 9,\quad y_1 = 3,\quad x_2 = 6,\quad y_2 = 7
   $$

3. Substitute these values into the midpoint formula:
   $$
   M = \left( \frac{9+6}{2}, \frac{3+7}{2} \right)
   $$

4. Calculate the sums:
   $$
   \frac{9+6}{2} = \frac{15}{2},\quad \frac{3+7}{2} = \frac{10}{2} = 5
   $$

5. Hence, the midpoint is:
   $$
   M = \left( \frac{15}{2}, 5 \right)
   $$
The midpoint is $$ \left( \frac{15}{2}, 5 \right) $$.

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