Point a (–4,1) is in the standard ( x , y ) co ordinate pl an e. what must be the coordinates of point b so that the line x = 2 is the perpendicular bisector of ab

The line x = 2 is vertical. This means that ab is horizontal since they are perpendicular. So, the y coordinate of b must be 1.

If x = 2 bisects ab, then a and b are equal distances from x = 2. 

a is 2 - (-4) = 6 units away from x = 2, so b must be 6 units away in the other direction. The x coordinate of b is 6 + 2 = 8.

The coordinate of b is (8, 1)