ajreese52 ajreese52
  • 19-09-2020
  • Mathematics
contestada

find the coordinates of B if the coordinates of A are (5,-4) and the midpoint of AB are (3,-2)

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 19-09-2020

Answer:

           B(1, 0)

Step-by-step explanation:

A(5, -4)  ⇒  [tex]x_A=5,\quad y_A = -4[/tex]

M(3,-2)  ⇒   [tex]x_M=3,\quad y_M=-2[/tex]

Point M(3, -2) being the midpoint of AB means that  [tex]x_M-x_A=x_B-x_M[/tex]

[tex]3-5=x_B-3\\\\-2=x_B-3\\\\x_B=1[/tex]

and   [tex]y_M-y_A=y_B-y_M[/tex]

[tex]-2-(-4)=y_B-(-2)\\\\-2+4=y_B+2\\\\y_B=0[/tex]

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