(a)[2]
On the grid, plot the line $x + 2y = 7$.
(b)[1]
From your graph, determine the solution of the simultaneous equations $y = x + 2$ and $x + 2y = 7$.
(c(i))[2]
Shade and label region $R$ bounded by $y \le x + 2$, $x + 2y \ge 7$ and $x \le 5$.
(c(ii)(a))[1]
Point $Z$ lies in region $R$. Both the $x$-coordinate and the $y$-coordinate of point $Z$ are integers, and point $Z$ is not on the boundary of region $R$. Find the number of possible positions of point $Z$.
(c(ii)(b))[2]
Point $Z$ has a $y$-coordinate that is one greater than its $x$-coordinate. List every possible coordinate of point $Z$.