Question

The line ab has midpoint (-2,4). a has coordinates (3,-2). find the coordinates of b

Answer 1

B = (-7,10)

Explanation:

Given that , a line AB has midpoint (-2,4) and the coordinates of A is ( 3 , -2). We need to find out the coordinates of B .

• Let coordinate of B be ( p,q ). We can use midpoint formula , as ,

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

=> ( -2,4 ) = ( p + 3)/2 , ( q -2 )/2

• On comparing ,

=> -2 = p + 3/2

=> p + 3 = -4

=> p = -3 - 4

=> p = (-7)

Also :-

=> q - 2/2 = 4

=> q -2 = 8

=> q = 8 + 2

=> q = 10

Hence the coordinates of B is ( -7,10 ) .