Division of a Line Segment

Dividing a line segment in the ratio $m:n$ locates the point $P$ that splits the segment from $A$ to $B$ into those proportions. Its coordinates are $\left(\frac{nx_1+mx_2}{m+n},\frac{ny_1+my_2}{m+n}\right)$.

This generalises the midpoint formula to any internal ratio.

You meet Division of a Line Segment in the Coordinate Geometry chapter of SPM Additional Mathematics. Knowing the term precisely matters in the exam: questions often hinge on reading a keyword correctly, and because SPM marking is analytic, using the right definition in your working helps secure method marks.

Our teachers make sure a student can not only recite what Division of a Line Segment means but use it fluently in a full solution.

Because the SPM Add Math paper is bilingual (BM/EN), it helps to know this term in each language: Division of a Line Segment (EN) · Pembahagian Tembereng Garis (BM) · 线段的分点 (中文)

Other key terms from the Coordinate Geometry chapter you may want to check:

• Midpoint
• Gradient
• Parallel Lines
• Perpendicular Lines
• Area of a Polygon
• Locus