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

asked Aug 7, 2021 221k views

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Answer:

Explanation:

A(5, -4) ⇒
$x_A=5,\quad y_A = -4$

M(3,-2) ⇒
$x_M=3,\quad y_M=-2$

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

$3-5=x_B-3\\\\-2=x_B-3\\\\x_B=1$

and
y_M-y_A=y_B-y_M

$-2-(-4)=y_B-(-2)\\\\-2+4=y_B+2\\\\y_B=0$

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