(i)[2]
Determine the coordinates of $C$ in terms of $m$ and $n$.
(ii)[5]
Determine the values of $m$ and $n$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
Points $A$, $B$ and $C$ are given such that $B$ is the mid-point of $AC$. Point $A$ has coordinates $(2, m)$ and point $B$ has coordinates $(n, -6)$, where $m$ and $n$ are constants. The straight line $y = x + 1$ goes through $C$ and is perpendicular to $AB$.