Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The coordinates of points $A$, $B$ and $C$ are $(2,5)$, $(5,-1)$ and $(8,6)$, respectively.
(i)[1]

Find the coordinates of the midpoint of the line segment $AB$.

(ii)[3]

Find the equation of the line passing through $C$ and perpendicular to $AB$. Give your answer in the form $ax + by + c = 0$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct coordinates are $(3\tfrac{1}{2}, 2)$.” …

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