Answer:
B(7,9)
Step-by-step explanation:
Let the coordinates of B be (a,b).
The midpoint rule is given by:
[tex]M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
We substitute the coordinates of A(2,3), B(a,b) and the coordinates of M are (4.5,6).
[tex]M(4.5,6)=(\frac{2+a}{2},\frac{3+b}{2} )[/tex]
Equate the corresponding components.
[tex]4.5=\frac{2+a}{2}[/tex] and [tex]6=\frac{3+b}{2}[/tex]
[tex]9=2+a[/tex] and [tex]12=3+b[/tex]
[tex]9-2=a[/tex] and [tex]12-3=b[/tex]
[tex]7=a[/tex] and [tex]9=b[/tex]
Therefore B has coordinates (7,9)
