Given:
One point = (2,4)
Mid point = (5,8)
Find: Point Q
Sol:
Midpoint Formula:
[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where,
[tex]\begin{gathered} (x_m,y_m)=\text{ Coordinates of the midpoint} \\ \\ (x_1,y_1)=\text{ Coordinates of the first point} \\ \\ (x_2,y_2)=\text{ Coordinates of the second point} \end{gathered}[/tex]
Let Q(x,y) then:
[tex]\begin{gathered} x_m=\frac{x_1+x_2}{2} \\ \\ 5=\frac{2+x}{2} \\ \\ x+2=10 \\ \\ x=10-2 \\ \\ x=8 \end{gathered}[/tex]
For y value is:
[tex]\begin{gathered} y_m=\frac{y_1+y_2}{2} \\ \\ 8=\frac{4+y}{2} \\ \\ 16=4+y \\ \\ y=16-4 \\ \\ y=12 \end{gathered}[/tex]
So coordinates of Q point is:
[tex](x,y)=(8,12)[/tex]
