Question 377155: find the equation of the perpendicular bisector of line ab in slpoe intercept form, given a(3,6) and b(3,10).
Answer by rfadrogane(214)   (Show Source):
You can put this solution on YOUR website! find the equation of the perpendicular bisector of line ab in slpoe intercept form, given A(3,6) and B(3,10).
Sol'n:
first thing you must do, is to find the mid-point of the line joining point AB
so,
Let Pm - mid-point of the line joining point AB, P(xm,ym)
Xm = (Xa + Xb)/2 = (3+3)/2 = 3
Ym = (Ya + Yb)/2 = (6+10)/2 = 8
thus, Pm (3,8)
slope joining this line is m = (Yb - Ya)/(Xb - Xa)
m = (10-6)/(3-3)= undefined,
by using point-slope from:
y-y1 = m(x-x1) @ Pm(3,8), m = undefined
y-8 = 0
y = 8 ----answer
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