Solution 2.2:6c

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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).