SOLUTION: how to find the equation of the perpendicular bisector of the line segment with endpoints (-6,-1) & (6,7)

Question 975595: how to find the equation of the perpendicular bisector of the line segment with endpoints (-6,-1) & (6,7)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
slope is 7-(-1)/6-(-6) or 8/12 or 2/3. The midpoint is the average of the x s and the average of the ys
That is (0,3)
the first two points have and equation of a line between them of
y-7 = (2/3)( x-6) or y-7=(2x/3)-4; y=(2x/3) +3
perpendicular line's slope is negative reciprocal or -3/2
point slope formula using midpoint, which is (0,3), the midpoint of the x s and y s
y-3= (-3x/2)
y=-(3/2)x +3

RELATED QUESTIONS
Write the equation of the perpendicular bisector to the line segment with endpoints (-1,... (answered by josmiceli)

Find an equation in general form of the perpendicular bisector of the line segment with... (answered by mananth)

Please help me Find the equation of perpendicular bisector of line segment with endpoints (answered by stanbon)

Write the equation of the perpendicular bisector of the line segment with endpoints... (answered by MathLover1)

Use the midpoint formula method to find the equation of the perpendicular bisector of th... (answered by josmiceli)

Write an equation in standard form of the line that is the perpendicular bisector of the... (answered by checkley71)

what is the equation of the perpendicular bisector of the segment with endpoints A(-1,-3) (answered by josgarithmetic)

Indicate the equation of the line that is the perpendicular bisector of the segment with... (answered by josgarithmetic)

Find the equation of the line perpendicular bisector of the line segment joining: (-3,8)... (answered by Boreal)