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Perpendicular equation: y = ax+14

Slope of line: 2-6/1-b = -1/a

Multiply both sides by 1-b: -4 = -1+b/a

By trial and improvement: -4 = -1+9/-2

By trial and improvement: -4 = -1-9/2.5

Therefore: a = -2 and b = 9 or a = 2.5 and b = -9

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Q: What are all the possible values of a and b given that y equals ax plus 14 is the perpendicular bisector of the line joining 1 2 to b 6?
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