Math
posted by Will on .
what is the equation for the perpendicular bisector of the line segment whose endpoints are (7,2) (1,6)

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 
Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, 5).