# Math

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what is the equation for the perpendicular bisector of the line segment whose endpoints are (-7,2) (-1,-6)

• Math -

The formula is y-y1= m*(x-x1)

1. Find the midpoint= [(x1-x2)/2, (y1-y2)/2]
you will get (-4,-2)

2. Find slope m1= [2-(-6)]/[-7-(-1)]= 8/-6=-4/3

3. find the slope of the perpendicular line
m1*m2=-1
-4/3*m2= -1
m2= 3/4

4. Plug in given points (-7,2) and (-1,-6) and m2 in the formula that I wrote in the beginning

y-(-2)=3/4(x-(-4))
y+2=3/4(x+4)
y+2=3/4x+3
y=3/4x+1 this is the equation your were looking for.

Please, make sure the numbers are correct and double check the math (in case of typo), but the actual idea is correct.

• Math -

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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