If point A is located at \((3, 4)\) and point B is at \((-2, -1)\), what are the coordinates of the midpoint between points A and B?

To find the midpoint between two points, you can use the midpoint formula, which states that the midpoint \(M\) between points \(A(x_1, y_1)\) and \(B(x_2, y_2)\) is given by: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Plugging in the coordinates of points A and B: - For point A \((3, 4)\), \(x_1 = 3\) and \(y_1 = 4\) - For point B \((-2, -1)\), \(x_2 = -2\) and \(y_2 = -1\) Now, calculate the coordinates of the midpoint: \[ M_x = \frac{3 + (-2)}{2} = \frac{1}{2} \] \[ M_y = \frac{4 + (-1)}{2} = \frac{3}{2} \] Thus, the coordinates of the midpoint between points A and B are \(\left( \frac{1}{2}, \frac{3}{2} \right)\).