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If you mean points of (-3, 4) and (2, -6) then the slope is -2
If you mean points of (3, 4) and (-6, 10) then the slope is -2/3
If: 5x-3y = -34 then y = 5/3x+34/3 as a straight line equation whereas 5/3 is the slope and 34/3 is the y intercept
then the slope is x=y. there is no slope.
Points: (3, 5) and (7, 11) Midpoint: (5, 8) Slope: 3/2 Perpendicular slope: -2/3 Perpendicular equation: y-8=-2/3(x-5) => 3y-24=-2x+10 => 3y=-2x+34 Therefore the perpendicular bisector equation is: 3y = -2x+34