2023 ACSBR EM S1 EOY P2 Q2

\({A}\) is the point \({(0, 5)}\) and the gradient of line \({AB}\) is \({-1.5}\).

1. Find the equation of the line \({AB}\).[1]
2. The equation of line \({l}\) is \({2y + 3x = 6}\).
   Explain why line \({l}\) does not intersect line \({AB}\).[2]
3. Line \({l}\) passes through the \({x}\)-axis at point \({C}\) and \({y}\)-axis at point \({D}\).
   State the coordinates of
   1. point \({C}\),[1]
   2. point \({D}\),[1]