Break a line in Inkscape

I have a solid line in Inkscape and I want to insert a line break, say, in the middle. The reason is that I had a relatively complex figure generated as SVG, where I need to colour some lines in half.

So, here’s how to do it:

• Select the line you want to break
• Click Edit path by nodes button (or just press F2):

• Click Convert selected object to path (or press Shift + Ctrl + C):

• Double click the line at the place you want to break. A new node will be inserted.
• Click on the new node to make sure it is selected.
• Click Break path at selected nodes:

• Go to the Path menu and click Break apart (or just press Shift + Ctrl + K)

The line is broken!

Why do I need this? Well, I have a phylogenetic tree exported as SVG by SeaView. Once I open it in Inkscape I want to colour-code certain branches. When I do Ungroup, however, the line that connects two branches to their ancestral node is solid. When I break it at the place pointed below, I can colour the tree properly:

For the record, there is a program that can generate SVG trees with lines already prebroken there, it is called FigTree.