Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The coordinates of two points $A$ and $B$ are $(-1, 1)$ and $(3, 4)$, respectively. The line $BC$ is perpendicular to $AB$ and meets the $x$-axis at $C$.
(i)[4]

Find the equation of $BC$ and the $x$-coordinate of $C$.

(ii)[2]

Find the distance $AC$, and give your answer correct to $3$ decimal places.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The gradient $m=\tfrac34$ is correct.” …

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