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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..
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First, determine the slope of line AB.
The slope of the perpendicular bisector is the reciprocal.
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Next, apply the "mid-point" formula to get the (x,y) coordinates.
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Now, you have the "slope" and one "point" plug it in to the "point-slope" formula:
y - y1 = m(x - x1)
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Finally, you can manipulate the above until you get the form you're looking for -- either "slope-intercept form" or "standard form".
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