Question

The midpoint of AB is M(6,2). If the coordinates of A are (4,8), what are

the coordinates of B?

Answer 1

B = (8,-4)

The midpoint formula is (xm,ym) = ((x1+x2)/2, (y1+y2)/2).
(6,2) = ((4+8)/2, (8+(-4))/2)

Answer 2

Explaination :

★ Given that,

• The midpoint of AB is M(6 , 2)
• The coordinates of A are (4 , 8)

★ To calculate,

• Coordinates of point B?

So here we would be using the formula of calculating the midpoint of two points.

Midpoint of two points:-

• 
  `\boxed{ \sf{M \: = \: (x_1 \: + \: x_2 )/(2) \: , \: (y_1 \: + \: y_2 )/(2)}} \: \pink\bigstar`

★ We have :

• x1 = 4
• y1 = 8

★ Putting the values :

• Refer to the attachment.

★ Therefore,

• Coordinates of the point B is (8 , -4)

Additional Information :

★ Centroid of a triangle :-

• 
  `\boxed{ \sf{Centroid \: = \: (x_1 \: + \: x_2 \: + \: x_3)/(3) }} \: \pink\bigstar`

★ Distance Formula :-

• 
  `\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _(2) - x _(1)) {}^(2) \: + \: (y _(2) - y _(1)) {}^(2) }}}} \: \red\bigstar`