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Hello, and welcome to FMH! :)

Using the distance formula, we may state:

[MATH]\overline{AB}^2=(6-(-2))^2+(k-1)^2[/MATH]
Can you proceed to expand and simplify to get the required quadratic in \(k\)?

Then write:

[MATH]k^2-2k+65=10^2[/MATH]
Can you now solve for \(k\)?
 
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