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Clear geometric proofs and numerical applications of Cartesian coordinate geometry for Grade 9 Compulsory and Optional Mathematics.
Coordinate geometry bridges algebra and Euclidean shapes on the Cartesian plane.
Coordinates of a point dividing the line segment joining $(x_1, y_1)$ and $(x_2, y_2)$ in the ratio $m:n$ are: $\left(\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\right)$. When $m = n$, this simplifies to the arithmetic mean midpoint formula.
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