Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

$C$ is the midpoint of the segment from $A(14, -7)$ to $B(-6, 3)$. The line passing through $C$ and perpendicular to $AB$ meets the $y$-axis at $D$.

(i)[4]

Find the equation of line $CD$, and write it in the form $y = mx + c$.

(ii)[2]

Find the length $AD$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Midpoint $C=(4,-2)$ is correct” …