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

it shows a series of boxes and says to fill them in... _+_ _=_ _ _ _ _
each underscore represents a box.
characters to use include;
= < > ~ *(multiplication), /(division), +(addition), -(subtraction), a equal sign with ~ over it, underscore with + over it, numbers 0 through 9, X, Y, ^2, ^3, and pi

3 answers

slope = [ -5 - 1 ] / [ 2 - 4 ]
= -6/-2 = 3 = m in y = m x + b
so
y = 3 x + b
put in (4,1)
1 = 3 (4) + b
1 = 12 + b
b = -11
so
y = 3 x - 11
NOW find line through the middle and perpendicular
middle x = (1/2)(4+2)= 3
middle y = (1/2)(1-5) = -2
so through (3,-2)
slope = -1/3
so
y = -(1/3)x + b
-2 = -(1/3)(3) + b
-2 = -1 + b
b = -1
so
y = -(1/3)x - 1
3 y = -x -3
x+3y = -3
3.65^(1/3)

(3650/1000)^(1/3)
(1/10)(3650)^(1/3)
hhmmm try 12 nope
try 15 -->225*15 -->3375 close
so about 1.5
try1.55
3.72, not going to get much closer than 1.55 without calculator
Not GOOD AT ALL I JUST NEEDED THEANSWER