what is the formula for finding point A on a line graph when only the coordinates of the midpoint and point B are known?
thanks
Remember that to find the x coordinate of the midpoint we add the x coordinates of the two endpoints and divide by 2 and do the same for the y coordinates to find the y coordinate of the midpoint
So...we have that
[ Ax + Bx ] / 2 = x coordinate of the midpoint
So.......
Ax + Bx = 2 * x coordinate of the midpoint
Ax = 2 * x coordinate of the midpoint - Bx
Similarly
[Ay + By ] / 2 = y coordinate of the midpoint
Ay + By = 2 * y coordinate of the midpoint
Ay = 2 * y coordinate of the midpoint - By