Aus Online Mathematik Brückenkurs 1

The point of intersection is that point which satisfies the equations of both lines

\displaystyle 4x+5y+6=0 and \displaystyle x=0.

Substituting \displaystyle 4x+5y+6=0 into \displaystyle x=0 gives

\displaystyle 4\centerdot 0+5y+6=0\ \Leftrightarrow \ y=-\frac{6}{5}

This gives the point of intersection as \displaystyle \left( 0 \right.,\left. -\frac{6}{5} \right).