Answer:
B = (-7,10)
Step-by-step 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
=> -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 ) .
