The points are
and
and the distance between them is 13.
The distance formula
.
Let the points are
and
.
Substitute the points
,
and
in distance formula.

Squaring on each side.
\
Subtract 169 from each side.
\
Solve the above equation by facto method.
\



.
Negative values are not considered.
\Thus, the values of
and
.
The values of
and
.