Question
Find coordinates of midpoint joining ( -2 ,6 ) and ( 8 ,2 )
✓
Answer
Let $A\left(x_1, y_1\right)=A(-2,6), B\left(x_2, y_2\right)=B(8,2), C\left(x_1, y\right)$ be the midpoint of seg $A B$.
$\therefore \mathrm{x}_1=-2, \mathrm{y}_1=6, \mathrm{x}_2=8, \mathrm{y}_2=2$
By midpoint formula,
$C(x, y)=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$
$=\left(\frac{-2+8}{2}, \frac{6+2}{2}\right)$
$=\left(\frac{6}{2}, \frac{8}{2}\right)$
$=(3,4)$
$\therefore$ Coordinates of midpoint of segment joining $(-2,6)$ and $(8,2)$ are $(3,4)$.
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