The equation of perpendicular bisector of BC is
Further explanation:
A perpendicular bisector passes through the mid-point of a line so to get an ordered pair from which the perpendicular bisector will pass we need to find the mid-point of BC.
So the perpendicular bisector will pass through (-1,3)
Let m1 be the slope of BC
Then
Let m2 be the slope of perpendicular bisector
We know that the product of slopes of perpendicular lines is -1.
The standard form of point-slope form of line is:
Putting the value of slope of bisector we get
To find the value of b, put the ordered pair (-1,3) in the equation
Putting the values of m and b in standard form
Hence the equation of perpendicular bisector of BC is
Keywords: Perpendicular bisector, Point-slope form
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