To find the midpoint of the two points (4, -3) and (-9, 7), we can use the midpoint formula. The midpoint formula for two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is given by:
[tex]\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \][/tex]
Now, let's use the coordinates you provided:
1. The x-coordinate of the midpoint can be calculated as:
[tex]\[ x_\text{mid} = \frac{4 + (-9)}{2} = \frac{4 - 9}{2} = \frac{-5}{2} = -2.5 \][/tex]
2. The y-coordinate of the midpoint can be calculated as:
[tex]\[ y_\text{mid} = \frac{-3 + 7}{2} = \frac{-3 + 7}{2} = \frac{4}{2} = 2.0 \][/tex]
So, the coordinates of the midpoint, rounded to the nearest tenth if needed, are:
x coordinate = -2.5
y coordinate = 2.0
