Find the midpoint of the segment with the given endpoints. \( (3,-9) \) and \( (3,-4) \)

To find the midpoint of a segment with endpoints \( (x_1, y_1) \) and \( (x_2, y_2) \), we use the formula: \[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Given the endpoints are \( (3, -9) \) and \( (3, -4) \), we can substitute these values into the formula to find the midpoint. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(3+3\right)}{2}\) - step1: Remove the parentheses: \(\frac{3+3}{2}\) - step2: Add the numbers: \(\frac{6}{2}\) - step3: Reduce the numbers: \(\frac{3}{1}\) - step4: Calculate: \(3\) Calculate or simplify the expression \( (-9 + -4) / 2 \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(-9-4\right)}{2}\) - step1: Remove the parentheses: \(\frac{-9-4}{2}\) - step2: Subtract the numbers: \(\frac{-13}{2}\) - step3: Rewrite the fraction: \(-\frac{13}{2}\) The midpoint of the segment with endpoints \( (3, -9) \) and \( (3, -4) \) is \( (3, -6.5) \).