Questions: Find the coordinates of the midpoint. G(-5.5,-6.1) and H(-0.5,9.1)

Solution Steps

To find the coordinates of the midpoint between two points \( G(x_1, y_1) \) and \( H(x_2, y_2) \), we use the midpoint formula: \[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]

Given: \( G(-5.5, -6.1) \) \( H(-0.5, 9.1) \)

The midpoint formula is: \[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]

Substitute the coordinates of \( G \) and \( H \): \[ x_1 = -5.5, \quad y_1 = -6.1 \] \[ x_2 = -0.5, \quad y_2 = 9.1 \]

Calculate the \( x \)-coordinate of the midpoint: \[ \text{Midpoint}_x = \frac{-5.5 + (-0.5)}{2} = \frac{-6.0}{2} = -3.0 \]

Calculate the \( y \)-coordinate of the midpoint: \[ \text{Midpoint}_y = \frac{-6.1 + 9.1}{2} = \frac{3.0}{2} = 1.5 \]

Final Answer