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

asked Jan 19, 2021 27.9k views

1 vote

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

PLEASE HELP

by R D

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4 votes

Answer:

Explanation:

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

$5-3=x_B-5\\\\2+5=x_B\\\\x_B=7$

and
y_P-y_A=y_B-y_P

$-1-(-5)=y_B-(-1)\\\\-1+5=y_B+1\\\\y_B=3$

PraveenP answered Jan 24, 2021

7.9k points

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