Answer :
To find the coordinates of the midpoint of a segment AB in a coordinate plane, given the coordinates of point A and point B, we use the midpoint formula. The midpoint formula for two points \(A(x_1, y_1)\) and \(B(x_2, y_2)\) is:
\[
\text{Midpoint} (M) = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)
\]
Given the points:
- Point A with coordinates (4, -1)
- Point B with coordinates (-3, 2)
We can calculate the coordinates of the midpoint by plugging the values into our midpoint formula:
\[
M_x = \frac{4 + (-3)}{2}
\]
\[
M_x = \frac{4 - 3}{2}
\]
\[
M_x = \frac{1}{2}
\]
\[
M_x = 0.5
\]
And for the y-coordinate of the midpoint:
\[
M_y = \frac{-1 + 2}{2}
\]
\[
M_y = \frac{1}{2}
\]
\[
M_y = 0.5
\]
So, the midpoint M of the line segment AB has:
\[
M = (0.5, 0.5)
\]
Therefore, the coordinates of the midpoint of AB are (0.5, 0.5).
