4400 Higher June 2008 Paper 4 Q14

14 A line L passes through the points (0, 1) and (4, 3).

Grid with x from -4 to 5 and y from -2 to 4 showing the line L through (0, 1) and (4, 3)
(a)
(i) Find the gradient of the line L.
(ii) Find the equation of the line L.
(4)
(b)
The same grid with the triangle bounded by the line L, the line x = 4 and the line y = -1 left unshaded and the rest shaded
Write down the three inequalities which define the unshaded region. (3)