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Stage 5 · Linear relationships C (Path) · Apply formulas to find the midpoint and gradient/slope of an interval on the Cartesian plane · Topic: Linear relationships · Year 9, 10

Use the relationship m = (rise)/(run) to establish the formula for the gradient/slope (m) of the interval joining the 2 points (x_1,y_1) and (x_2,y_2) on the Cartesian plane: m = (y_2 - y_1)/(x_2 - x_1)

Dot point ID k-10-2022-stage-5-linear-relationships-c-path/lnc-fin-stg5-02 · NESA code MA_K_10_CP_LNC_FIN_STG5_02 · See it on the NSW Curriculum website ↗

↩SupportBuild the prerequisite skills first · 11 resources ★EnrichExtension & rich tasks · 2 resources

Outcomes for this focus area (MA5-LIN-P-01)

MA5-LIN-P-01 describes and applies transformations, the midpoint, gradient/slope and distance formulas, and equations of lines to solve problems (Path: Adv)

Core resources for this dot point

On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.

No checked core resources tagged to this exact dot point yet. See the focus area resources below.

Focus area resources

Checked resources for Linear relationships C (Path) as a whole (not mapped to a single dot point).

Unit/Planning
Stage 5 Unit 2 – working with triangles (sample unit of learning)
NSW Department of Education · Sample unit (DOCX) · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Outcome codes found in document: MA5-IND-P-02, MA5-LIN-C-01, MA5-LIN-P-01, MA5-MAG-C-01, MA5-TRG-C-01
Unit/Planning
Stage 5 Unit 6 – constant rates of change (sample unit of learning)
NSW Department of Education · Sample unit (DOCX) · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Outcome codes found in document: MA5-EQU-C-01, MA5-EQU-P-02, MA5-LIN-C-01, MA5-LIN-C-02, MA5-LIN-P-01, MA5-RAT-P-01