2025 IGCSE 0580 May/June P43 Q13

Line \(L\) has the equation \(y=2(x-5)\).

1. Find the coordinates of the point where line \(L\) intersects the \(y\)-axis.[1]
2. Find the \(x\)-coordinate of the point where line \(L\) intersects the line \(y=19\).[2]
3. Line \(P\) is perpendicular to line \(L\).
   Line \(P\) passes through the point \((2,3)\).
   Find the equation of line \(P\).
   Give your answer in the form \(y=mx+c\).[3]