die Flucht
escape / flight
The quick leaving of a place in order to get away from danger, pursuit, or an unpleasant situation.
Nach dem Banküberfall ergriffen die Täter die Flucht.
After the bank robbery, the perpetrators fled.

escape / alignment
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escape / flight
The quick leaving of a place in order to get away from danger, pursuit, or an unpleasant situation.
Nach dem Banküberfall ergriffen die Täter die Flucht.
After the bank robbery, the perpetrators fled.

'Die Flucht' belongs to the word family of the verb 'fliehen' (to flee, to escape). A person who flees is called 'der Flüchtling' (refugee) or 'die Flüchtige' (female fugitive).
Die Familie musste aus ihrer Heimat fliehen.
The family had to flee their homeland.
Very common fixed expressions are 'die Flucht ergreifen' (to start fleeing) and 'auf der Flucht sein' (to be on the run).
Als die Polizei kam, ergriff der Dieb die Flucht.
When the police came, the thief fled.
The idiom 'jemanden in die Flucht schlagen' means to scare or fight someone in such a way that they run away. The object that is driven off is in the accusative.
Die Dorfbewohner schlugen die Angreifer in die Flucht.
The villagers put the attackers to flight.
The meaning 'gerade Linie' (straight line) is a technical term from architecture. You can recognize it from words like 'Fassade' (facade), 'Gebäude' (building), 'Fenster' (window), or 'Mauer' (wall).
Die Bäume wurden in einer exakten Flucht gepflanzt.
The trees were planted in an exact alignment.
line
'Linie' and 'Flucht' can both describe something straight. 'Linie' is the general word for a line or a straight form. In this sense, 'Flucht' is used mainly in architecture or construction, when several doors, windows, or walls lie exactly in a straight row. Learners may confuse the words because both have to do with a straight arrangement. But 'Flucht' is much more specific; outside of construction and architecture, 'Flucht' usually means running away from danger.

Die neuen Fenster liegen nicht genau in der Flucht der alten Fassade.
The new windows are not exactly aligned with the old facade.
Zieh mit dem Lineal eine gerade Linie unter die Überschrift.
Draw a straight line under the heading with the ruler.