$A$ is the point $(5,2)$ while $B$ is the point $(9,6)$. $AC$ runs parallel to the $x$-axis, and $CB$ runs parallel to the $y$-axis. The equation for the line $AB$ is $x - y = 3$.
(a)[1]
Determine the coordinates of $C$.
(b)[3]
The area inside triangle $ABC$ is described by three inequalities. State these inequalities.
(c)[2]
The point $(a,b)$, with $a$ and $b$ both integers, is inside triangle $ABC$. It also lies on the line $y = \frac{1}{2}x$. Find the value of $a$ and the value of $b$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The coordinates are $(9,2)$.” …