Question

M(5, 7) is the mid-point of the l.ine segment joining A (3,4) to B. Find the coordinates of B.

Answer 1

B(7,10)

Explanation:

`M(5,7)=(x ,y)\\A(3,4)=(x_1,y_1)\\B(x_2,y_2)\\\\Endpoint ;\\x = (x_1+x_2)/(2)\\ \\5 = (3+x_2)/(2)\\ Cross\:Multiply\\5* 2 =3+x_2\\10=3+x_2\\10-3 =x_2\\7=x_2\\\\\\y = (y_1+y_2)/(2) \\\\7 = (4+y_2)/(2)\\ Cross\:Multiply\\7* 2 =4+y_2\\14 =4+y_2\\14-4 =y_2\\10 =y_2\\\\\\B(7,10)`