Algebra
posted by Marissa on .
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.

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