Determine a value for k so that the point (1,k) is the same distance from the line x=-2 as it is from the point (2,0)

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- Jun 17th 2008, 01:07 PMcruxkittyhelp on graphing problem for calculus summer assgn.
Determine a value for k so that the point (1,k) is the same distance from the line x=-2 as it is from the point (2,0)

- Jun 17th 2008, 02:19 PMred_dog
The distance from the point to the line is 3.

The distance between the two points is $\displaystyle \sqrt{1+k^2}$.

So, you have to solve the equation $\displaystyle \sqrt{1+k^2}=3$.