Point
\[\blue{A}\] is at
\[\blue{(-2, 4)}\] and point
\[\green{B}\] is at
\[\green{(7, 3)}\].
What is the midpoint of line segment
\[\overline{AB}\]?
Using the midpoint formula, the midpoint of line segment $\overline{AB}$ is $\left(\dfrac{-2+7}{2}, \dfrac{4+3}{2}\right) = \boxed{(2.5, 3.5)}$.
To find the midpoint of a line segment, you can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint (\(M\)) of a line segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\) are given by:
\[(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2})\]
In this case, the coordinates for point \(A\) are \((-2, 4)\) and the coordinates for point \(B\) are \((7, 3)\).
Using the midpoint formula, we can calculate the coordinates of the midpoint of \(\overline{AB}\):
\[(\frac{{-2 + 7}}{2}, \frac{{4 + 3}}{2})\]
Simplifying the expression, we get:
\[(\frac{5}{2}, \frac{7}{2})\]
Therefore, the midpoint of the line segment \(\overline{AB}\) is \((\frac{5}{2}, \frac{7}{2})\).
To find the midpoint of a line segment, we can use the midpoint formula.
The midpoint formula is given by:
\[\left(\frac{{x_1+x_2}}{2}, \frac{{y_1+y_2}}{2}\right)\]
Here, \(\blue{(x_1, y_1) = (-2, 4)}\) and \(\green{(x_2, y_2) = (7, 3)}\).
Substituting these values into the formula, we get:
Midpoint = \[\left(\frac{{-2+7}}{2}, \frac{{4+3}}{2}\right)\]
Simplifying this expression, we get:
Midpoint = \[\left(\frac{{5}}{2}, \frac{{7}}{2}\right)\]
Therefore, the midpoint of line segment \(\overline{AB}\) is \[\left(\frac{{5}}{2}, \frac{{7}}{2}\right)\].