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 slope-intercept 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

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