SOLUTION: P(4,2) is equidistant from A(9,2) and B(1,6) If (2,k) is equidistant from A and B, find value of k

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Question 773827: P(4,2) is equidistant from A(9,2) and B(1,6)
If (2,k) is equidistant from A and B, find value of k
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Find slope of line AB. Call this value M.
Now find m=-%281%2FM%29.
Use point-slope form for a line and with point P(4,2) and the slope m, find the equation for the line which they define.
Use this equation with x=2 to find the value of k.


The point-slope form for a line is y-y%5B0%5D=m%28x-x%5B0%5D%29 or alternatively y=m%28x-x%5B0%5D%29%2By%5B0%5D;
Do not confuse lower-case letters for variables with upper-case letters for variables.