Answer:
The coordinates of point B are (-3,2)
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
[tex]M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
we have
[tex]M(2,0)\\(x_1,y_1)=(7,-2)[/tex]
substitute
[tex](2,0)=(\frac{7+x_2}{2},\frac{-2+y_2}{2})[/tex]
Find the value of x_2
we have that
[tex]2=\frac{7+x2}{2}[/tex]
[tex]4=7+x_2\\x_2=-3[/tex]
Find the value of y_2
we have that
[tex]0=\frac{-2+y_2}{2}[/tex]
[tex]0=-2+y_2\\y_2=2[/tex]
therefore
The coordinates of point B are (-3,2)
