Posted by Will on Thursday, November 29, 2012 at 9:22pm.
what is the equation for the perpendicular bisector of the line segment whose endpoints are (7,2) (1,6)

Math  kay, Friday, November 30, 2012 at 4:44am
bisector is the line that cuts the segment into half and is perpendicular to it. So first we need to find the midpoint M of segment ; x coordinate of M; (7+1)/2=8/2=4. y coordinate of M; (2+6)/2= 4/2=2.So M(4,2)
As lines are perpendicular their gradients will be opposite & reciprocal. Lets find the gradient of AB: (26)/(71)= 8/6=4/3. So gradient of line; 3/4
Equation of line; y=mx+c so substituting coordinates x,y and gradient m we get; 2=3/4(4)+c solving for c we get; c=1 so line is; y=(3/4)x+1

Math  michael, Wednesday, December 12, 2012 at 10:47am
Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, 5).
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