Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

Point $A$ is located at $(3, 1)$ and point $B$ is located at $(-21, 11)$. Point $C$ is the midpoint of $AB$.
(a(i))[2]

Find the equation of the line passing through $A$ and perpendicular to $y = 2x - 7$.

(a(ii))[3]

Find the length of $AC$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: State the gradient of the perpendicular line as $-\frac{1}{2}$.

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