1. **State the problem:** LaTanya wants to find the midpoint between points A and B to center a picture along the back wall. 2. **Formula for midpoint:** The midpoint $M$ between two points $A(x_1,y_1)$ and $B(x_2,y_2)$ is given by: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ 3. **Apply the formula for points A and B:** Given $A = (1,10)$ and $B = (12,10)$, $$M = \left( \frac{1 + 12}{2}, \frac{10 + 10}{2} \right)$$ 4. **Calculate each coordinate:** $$M = \left( \frac{13}{2}, \frac{20}{2} \right)$$ 5. **Simplify the fractions:** $$M = \left( \cancel{\frac{13}{2}}, \cancel{\frac{20}{2}} \right) = (6.5, 10)$$ 6. **Interpretation:** The picture should be centered at point $(6.5, 10)$ along the back wall. --- **Note:** The second question about points C and D is not solved here as per instructions to solve only the first problem.