Question

Find the value of k so that the points are /sqrt {274} units apart. (-6, -8) (k, 7)

Answer 1

\[

274= (k+6)^2 + (7+8)^2
\]
Solve for k

Answer 2

After expansion and simplification, the equation above becomes
\[
k^2+12 k-13=0\\
(k-1) (k+13)=0\\
k=1\\
k=-13
\]