Delete Line Shortcut is a small Blender add-on that brings a line-deletion shortcut to the text editor. Pressing CTRL + SHIFT + BACKSPACE while on a line removes that line and cuts its content into the clipboard, so you can paste the deleted line elsewhere. There is no need to select anything first, and the behaviour matches the equivalent shortcut in VS Code.
Under the hood, the add-on works mostly through Blender's built-in functions: it adds a newline character to the current line, selects the whole line, cuts the selected content, then deletes the remaining newline character. The shortcut is editable from Edit > Preferences > Keymap > Text > Text global > Delete line, so you can remap it to another combination.
The add-on requests Clipboard permission to read from and write to the system clipboard. It is compatible with Blender 4.2 LTS and newer and released under the GNU General Public License v3.0 or later. It sits at rank 407 in the Blender Extensions library.