The distance between the points (4, 8) and (k, -4) is 13. What is the value of k?
-1
By the distance formula:
\[\sqrt{(k-4)^2 + (-4-8)^2} = 13\]
\[(k-4)^2 + 144 = 169 \implies (k-4)^2 = 25\]
\[k - 4 = \pm 5 \implies k = 9 \text{ or } k = -1\]
Of these, only k = -1 appears in the options.
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