Stage 5 · Linear relationships C (Path) · Use various forms of the equation of a straight line · Topic: Linear relationships · Year 9, 10
Use the point–gradient form (y - y_1 = m(x - x_1)) or the gradient–intercept form (y = mx + c) to find the equation of a line passing through a point (x_1,y_1), with a given gradient m
Dot point ID k-10-2022-stage-5-linear-relationships-c-path/lnc-sta-stg5-04 · NESA code MA_K_10_CP_LNC_STA_STG5_04 · See it on the NSW Curriculum website ↗
↩SupportBuild the prerequisite skills first · 10 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.
Interactive tool
- Interactive toolStarterMaths Is Fun: Point-slope formUse it for: Point-gradient form of a line explained.
Simulation
- PhET Graphing LinesUse it for: Explore gradient and intercept; the Line Game screen gives quick practice.
Focus area resources
Checked resources for Linear relationships C (Path) as a whole (not mapped to a single dot point).