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Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordinates of point B?

User Mandrake
by
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1 Answer

1 vote

Answer:


\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 )
\longrightarrow ( x1 , y1 )

B ( x , y )
\longrightarrow ( x2 , y2 )

Now,

Midpoint =
((x1 + x2)/(2) , (y1 + y2)/(2) )


( -2 , 2 ) = ( (-7 + x)/(2) , (1 + y)/(2) )

Finding the value of x :


-2 = (-7 + x)/(2)

Do cross multiplication


-4 = -7 + x


-7 + x = -4


x = -4 + 7


x = 3

Now, finding the value of y


2 = (1+y)/(2)

Do cross multiplication


4 = 1+y


1+y = 4


y = 4 - 1


y = 3

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~
\text{ TheAnimeGirl}

User Lyubomyr Dutko
by
7.6k points

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