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Given line segment AB, the coordinates of A are (3,-5) and the coordinates midpoint are (5,-1), what are the coordinates for B?

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Respuesta :

Answer:

          B(7, 3)

Step-by-step explanation:

Point P(5, -1) being the midpoint of AB means that  [tex]x_P-x_A=x_B-x_P[/tex]

[tex]5-3=x_B-5\\\\2+5=x_B\\\\x_B=7[/tex]

and   [tex]y_P-y_A=y_B-y_P[/tex]

[tex]-1-(-5)=y_B-(-1)\\\\-1+5=y_B+1\\\\y_B=3[/tex]

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