  In this note we show that the union of $r$ general lines and one fat line in
${\mathbb P}^3$ imposes independent conditions on forms of sufficiently high
degree $d$, where the bound on $d$ is independent of the number of lines. This
extends former results of Hartshorne and Hirschowitz on unions of general
lines, and of Aladpoosh on unions of general lines and one double line.
