Posted by Marissa on Thursday, November 18, 2010 at 7:23pm.
Write the equation of the prpendicular bisector of the line segment AB with endpoints A(1,1) and B(7,5). Write the answer in slopeintercept form.

Algebra  Reiny, Thursday, November 18, 2010 at 7:50pm
first you need the midpoint of the line segment
which is (4,3)
now find the slope of the given line which is 2/3
so the slope of the perpendicular is 3/2
equation:
y = (3/2)x + b
but you know (4,3) lies on it , so
3= (3/2)(4) + b
3 = 6 + b
b = 9
y = (3/2)x + 9