Question

The midpoint of AB is M (2,0). If the coordinates of A are (7, -2), what
are the coordinates of B?

Answer 1

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

$M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

we have

$M(2,0)\\(x_1,y_1)=(7,-2)$

substitute

$(2,0)=(\frac{7+x_2}{2},\frac{-2+y_2}{2})$

Find the value of x_2

we have that

$2=\frac{7+x2}{2}$

$4=7+x_2\\x_2=-3$

Find the value of y_2

we have that

$0=\frac{-2+y_2}{2}$

$0=-2+y_2\\y_2=2$

therefore

The coordinates of point B are (-3,2)