Find the midpoint between the two points \( (2,-7)(-3,8) \)

To find the midpoint between the two points \( (2, -7) \) and \( (-3, 8) \), we can use the midpoint formula: \[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Here, \( (x_1, y_1) = (2, -7) \) and \( (x_2, y_2) = (-3, 8) \). Now, we can substitute the coordinates into the formula: 1. Calculate the x-coordinate of the midpoint: \[ \frac{x_1 + x_2}{2} = \frac{2 + (-3)}{2} = \frac{2 - 3}{2} = \frac{-1}{2} = -\frac{1}{2} \] 2. Calculate the y-coordinate of the midpoint: \[ \frac{y_1 + y_2}{2} = \frac{-7 + 8}{2} = \frac{1}{2} \] Putting it all together, the midpoint is: \[ \left( -\frac{1}{2}, \frac{1}{2} \right) \] Thus, the midpoint between the points \( (2, -7) \) and \( (-3, 8) \) is \[ \boxed{\left( -\frac{1}{2}, \frac{1}{2} \right)} \]