Question

M(3,8) is the midpoint of the line AB. A has the coordinates (-2,3). Find the coordinates of B

Answer 1

Answer:

B(x,y) = (8,13)

Step-by-step explanation:

$Given \: A(-2,3) , Let \:B=(x,y)$

Mid point of AB = M(3,8)

$Here, x_{1}=-2,y_{1}=3,\\x_{2}=x, y_{2}=y$

$Mid \:point\:of \:AB = M(3,8)$

$\implies \left(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\right)=M(3,8)$

$\implies \left(\frac{-2+x}{2},\frac{3+y}{2}\right)=M(3,8)$

$\frac{-2+x}{2}=3,\: \frac{3+y}{2}=8$

$-2+x = 6, \: 3+y = 16$

$x = 6+2, \: y = 16-3$

$x = 8 , \: y = 13$

Therefore,

B(x,y) = (8,13)

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