Question 633147
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Hi,
 Line perpendicular to and <u>bisecting</u>the line segment whose endpoints are A(-1,6) and 
B(5,-4)  m = 10/-6 = -5/3 {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
And midpointof the  line segment is (2,1)  |Midpoint Pt(x,y):  ( {{{(x[1] + x[2])/2}}}, {{{(y[1] + y[2])/2  )}}})
<u>New Perpendicular Line:</u>
 m = 3/5   | perpendicular lines have slopes that are the negative reciprocal of one another
 y = mx + b
 y = (3/5)x + b
 1 = (3/5)2 + b
 -1/5 = b
y = (3/5)x - 1/5   or  3x-5y -1 = 0

<u>Line</u> with slope equal to -1 and x-intercept equal to 6
 y = mx + b
 y = -x + b   |using ordered pair (6,0) to find b
 0 = -6 + b
 6 = b
y = -x + 6   or x + y-6 = 0