The perpendicular bisector of the line segment \(\overline{AB}\) is the line that passes throught the midpoint of \(\overline{AB}\) and is perpendicular to \(\overline{AB}\).
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
+36916 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
