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

Answer 1

Find the gradient between the 2 points:
m = y2-y1/x2-x1
= 1 - (-5)/4-2
= 3

The perpendicular gradient will be -1/3 as 3*(-1/3) = -1

Find the midpoint between the 2 points:
\[= (\frac{ x2+x1 }{2 } + \frac{ y2+y1 }{ 2 })\]
\[= (\frac{ 4+2 }{2 } + \frac{1+(-5) }{ 2 })\]
= (3, -2)

The equation is given by y-b=m(x-a), substituting in the midpoint
y+2 = -1/3(x-3)
3y+6 = -x+3
3y = -x-3

Answer 2

Thank youu

Answer 3

No problem :)

I believe that its correct but its really late here xD