SOLUTION: write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,5)

Question 598923: write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,5)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,5)
**
slope of line segment=∆y/∆x=(5-1)/(7-(-1))=4/8=1/2
slope of perpendicular bisector = -2 (negative reciprocal)
mid point of perpendicular bisector =(7-1)/2,(5+1)/2=(3,3)
Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
equation:
y=mx+b
using midpoint and slope to find b
3=-2*3+b
b=9
y=-2x+9

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