SOLUTION: If I have a problem that says find an equation of the perpendicular bisector of line AB... Could someone please tell me how I would figure that out.

Question 481462: If I have a problem that says find an equation of the perpendicular bisector of line AB... Could someone please tell me how I would figure that out.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The way you would approach the problem depends on what was given to you.
Perhaps, it is best if you have a particular problem in mind.

If I have a problem that says find an equation of the perpendicular bisector of line AB..
.
First, determine the slope of line AB.
The slope of the perpendicular bisector is the reciprocal.
.
Next, apply the "mid-point" formula to get the (x,y) coordinates.
.
Now, you have the "slope" and one "point" plug it in to the "point-slope" formula:
y - y1 = m(x - x1)
.
Finally, you can manipulate the above until you get the form you're looking for -- either "slope-intercept form" or "standard form".
.
RELATED QUESTIONS
Please help me with this problem. Find a general form of an equation for the... (answered by josgarithmetic,MathTherapy)

find an equation of the perpendicular bisector of line segment AB: A(-9,-3),... (answered by venugopalramana)

Could someone please check my work and tell me if my answers are correct? Points give:... (answered by Fombitz)

Find an equation of the perpendicular bisector of the lina segment... (answered by Alan3354,drk)

I need more help-big shocker! Given the points A(3, -6) and B(9, 2). Find the equation... (answered by stanbon)

Please help me work this problem. I have the answer but don't know how to work it.... (answered by mbarugel,longjonsilver,venugopalramana)

its says determine the distance between point A(-1,-3) and point B(5,5). Write an... (answered by Fombitz)

i have a really confusing question on my homework. it says find an equation of the line... (answered by ankor@dixie-net.com)

Could you please help me with this problem Find the equation of a perpendicular bisector (answered by stanbon)