contestada

The midpoint of AB is M(3, 1). If the coordinates of A are (4,3), what are the
coordinates of B?

Respuesta :

Answer:

           B(2, -1)

Step-by-step explanation:

If M is midpoit of AB then:

[tex]x_M-x_A=x_B - x_M\qquad\quad\ \wedge\qquad y_M-y_A=y_B - y_M\\\\ 3-4=x_B-3\qquad\quad\wedge\qquad 1-3=y_B -1\\\\ -1=x_B-3\qquad\quad\wedge\qquad\ \ -2=y_B-1 \\\\ {}\quad x_B=2\qquad\qquad\wedge\qquad\qquad \ y_B=-1[/tex]