On the grid, the line $4y=x+2$ is shown.
(a)[3]
Draw suitable lines to show the region $R$ that satisfies all of the following inequalities.
$x \ge 1$
$x+y \le 5$
$4y \ge x+2$
(b(i))[2]
$A$ has coordinates $(-1,3)$ and $B$ has coordinates $(5,5)$.
Calculate the length $AB$.
(b(ii))[4]
Find the equation of the line that goes through the midpoint of $AB$ and is perpendicular to $AB$.
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