SOLUTION: the coordinate of p are (-2,5) and the coordinates of q are (6,1).
a.what is the slope of pq?
b.what is the equation?
c.what are the coordinates of the mp of pq?
d. w
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Question 559702: the coordinate of p are (-2,5) and the coordinates of q are (6,1).
a.what is the slope of pq?
b.what is the equation?
c.what are the coordinates of the mp of pq?
d. what is the eqquation of the perpendicular bisector of pq?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
a. use the slope formula:
where )
and )
are the coordinates of points P and Q.
b. Presuming you mean "what is AN equation of the line containing the segment PQ", use the point-slope form of an equation of a line:
 )
where are the coordinates of either point P or point Q and 
is the slope calculated in part a.
c. Use the midpoint formulas:
and
where and are the coordinates of points P and Q. Then the midpoint is the point )
d. Again, presuming you mean "AN equation": The perpendicular bisector of PQ is the line perpendicular to PQ that passes through the midpoint. The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. Calculate the negative reciprocal of the slope that you calculated in part a, that is calculate 
. Then use the point-slope form of an equation of a line to derive the desired equation:
 )
where are the coordinates of the midpoint of segment PQ and 
is the negative reciprocal of the slope calculated in part a.
John
My calculator said it, I believe it, that settles it
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