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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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 $\displaystyle \sqrt{1+k^2}=3$.
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