Question

Suppose the midpoint of (AB) is M= (3,0) if point A has the coordinates of (-1,4) then what are the coordinates of B?

Answer 1

B(7, -4)

Explanation:

Point M being midpoint of AB means:

`x_M-x_A=x_B - x_M\qquad\quad\ \wedge\qquad y_M-y_A=y_B - y_M\\\\ 3-(-1)=x_B-3\qquad\wedge\qquad 0-4=y_B -0\\\\ {}\qquad x_B=7\qquad\qquad\wedge\qquad\qquad \ y_B=-4`