The midpoint of the line segment joining the points (10,7) and (negative 2,negative 7) is (4, 0)
Given that line segment joining the points (10,7) and (negative 2, negative 7)
Thus the two points are (10, 7) and (-2, -7)
The midpoint of two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:
[tex]M(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]
[tex]\text {Here } x_{1}=10 \text { and } y_{1}=7 \text { and } x_{2}=-2 \text { and } y_{2}=-7[/tex]
Substituting the values in formula, we get
[tex]\begin{array}{l}{M(x, y)=\left(\frac{10+(-2)}{2}, \frac{7+(-7)}{2}\right)} \\\\ {M(x, y)=\left(\frac{10-2}{2}, \frac{7-7}{2}\right)} \\\\ {M(x, y)=(4,0)}\end{array}[/tex]
Thus the midpoint of line segment is (4, 0)
