SOLUTION: x+y=4 is the perpendicular bisector of AB where A=(3,-3). Find B.

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Question 860925: x+y=4 is the perpendicular bisector of AB where A=(3,-3). Find B.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Point A is on the line, -x+y=c, chosen this way based on familiarity with Standard Form equation for a line; therefore, you can use the coordinate values of point A to compute the value for c.

Once found c, you can to find the intersection point of -x+y=c and x+y=4. This intersection point will be the midpoint of segment AB. You can use Midpoint Formula to find the coordinates for point B.