Question

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

Answer 1

Answer:

           B(1, 0)

Step-by-step 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   $y_M-y_A=y_B-y_M$

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