The perpendicular bisector of the line segment ¯AB is the line that passes throught the midpoint of ¯AB and is perpendicular to ¯AB.
Find the equation of the perpendicular bisector of the line segment joining the points (1, 2) and (7, 4). Enter your answer in the form y=mx+b
thanks in advance
First find the midpoint 4, 3
Find the slope (2-4)/(1-7) = -2/-6 = 1/3
perpindicular slope = -1 / 1/3 = -3
point slope (y-3) = -3(x-4) Re-arrange to get to y = mx + b form