SOLUTION: Given the points A(3,1), B(6,y) and C(12,-2), find the value(s) of y for which AB is perpendicular to BC

Question 810421: Given the points A(3,1), B(6,y) and C(12,-2), find the value(s) of y for which AB is perpendicular to BC
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Slope for line AB is .
The slope wanted for line BC is .

What we should know is that the product of two slopes must be -1.
but this does not solve anything.
We still want an expression for slope of BC, which is .

Now use this in the "-1" equation.

Fortunately, factorable.
(y+5)(y-4)=0

or
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