Question

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.

Answer 1

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