The midpoint M of GH has coordinates -3.1 5 Point H has coordinates -12 -1.8 Find the coordinates of point G?

To find the coordinates of point G, we can use the midpoint formula, which states that the midpoint M is the average of the coordinates of points G and H. Given M (-3.1, 5) and H (-12, -1.8), we can set up the equations:

[ M_x = \frac{G_x + H_x}{2} \quad \text{and} \quad M_y = \frac{G_y + H_y}{2} ]

Substituting the known values:

1. For the x-coordinate: (-3.1 = \frac{G_x - 12}{2}) gives (G_x = -3.1 \cdot 2 + 12 = 5.8).
2. For the y-coordinate: (5 = \frac{G_y - 1.8}{2}) gives (G_y = 5 \cdot 2 + 1.8 = 11.8).

Therefore, the coordinates of point G are (5.8, 11.8).