Find the equation of the line that is the perpendicular bisector of the segment joining the points (2,1) and (6,7). Write answer in the form Ax+By+C = 0.
I found the slope of the given points to be 3/2.
I then found the midpoint of the two given points to be (4,4).
I then calculated the slope of the perpendicular bisector to be -2/3.
I then plugged (-2/3) and the midpoint (4,4) into the point-slope formula and ended up with the equation y = (-2/3)x + (20/3).
I finally expressed the above equation as (2/3)x + y - (20/3) = 0.
The book's answer is
2x + 3y - 20 = 0
What are the right steps to find the equation given as the answer in the book?