Multiply your answer by three. It is correct, just not in the form they want.
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?