viviana825
viviana825 viviana825
  • 17-09-2020
  • Mathematics
contestada

The midpoint of AB is M(3, -2). If the coordinates of A are (8,4), what are the
coordinates of B?

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 18-09-2020

Answer:

            B(-2, -8)

Step-by-step explanation:

M being midpoint of AB means:

[tex]x_B-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_B-y_M=y_M-y_A\\\\x_B-3=3-8\qquad\quad\wedge\qquad\quad y_B-(-2)=-2-4\\\\x_B-3=-5\qquad\quad\ \wedge\qquad\quad y_B+2=-6\\\\x_B=-5+3\qquad\quad\ \wedge\qquad\quad y_B=-6-2\\\\x_B=-2\qquad\qquad\ \wedge\qquad\qquad y_B=-8[/tex]

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