1. **State the problem:** Find the midpoint between the points $(2,4)$ and $(-3,9)$. 2. **Formula:** The midpoint $M$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ 3. **Apply the formula:** $$M = \left( \frac{2 + (-3)}{2}, \frac{4 + 9}{2} \right)$$ 4. **Simplify the expressions:** $$M = \left( \frac{2 - 3}{2}, \frac{13}{2} \right)$$ 5. **Calculate the values:** $$M = \left( \frac{-1}{2}, \frac{13}{2} \right)$$ 6. **Final answer:** The midpoint is $\boxed{\left(-\frac{1}{2}, \frac{13}{2}\right)}$. This means the point exactly halfway between $(2,4)$ and $(-3,9)$ is $\left(-0.5, 6.5\right)$.