Question

The midpoint of \overline{\text{AB}}

AB
is M(3, 3)M(3,3). If the coordinates of AA are (2, -1)(2,−1), what are the coordinates of BB?

Answer 1

Answer:b=(1,−3)

Explanation:

Answer 2

B(4, 7)

Explanation:

`M(3,\,3)\,,\quad A(2,\,-1)\,,\quad B(x_B,\,y_B)\\\\\overline{AM}=\overline{MB}\ \implies\ x_M-x_A=x_B-x_M\ \ \wedge\ \ y_M-y_A=y_B-y_M\\`

`3-2=x_B-3\qquad\wedge\qquad 3-(-1)=y_B-3\\\\ 1=x_B-3\qquad\qquad\wedge\qquad\ \ 3+1=y_B-3 \\\\ {}\quad x_B=4\qquad\qquad\wedge\qquad\qquad \ y_B=7`