Finding point of intersection of two lines

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Beta: Plotting co-ordinates, Ex 13.01, pgs 230 & 231
Beta: Drawing line from equation, Ex 13.02, pg 233
Beta: Gradients, Ex 13.03 to Ex 13.06, pgs 235 & 239
Beta: Intercept of lines, Ex 13.07 to Ex 13.08, pgs 240 & 241
Beta: Horizontal and vertical lines, Ex 13.09, pg 243
Beta: Applying straight-line rules, Ex 13.10, pgs 244 to 246
Dr Austin Maths - Linear Simultaneous Equations Revision Practice GridQuestions PDF · Answers
Dr Austin Maths - Solving Linear Simultaneous Equations Graphically Practice GridQuestions PDF · Answers
Dr Austin Maths - Harder Simultaneous Equations Practice GridQuestions PDF · Answers
Dr Austin Maths - Solving Equations Graphically Practice GridQuestions PDF · Answers

Read the point of intersection of two lines directly from a graph on a coordinate grid.
Given the equations of two straight lines with whole-number gradients and intercepts, find their point of intersection.
Find the point of intersection of two lines given equations with larger or negative gradients and intercepts.
Find the point of intersection of two lines given equations with fractional or decimal gradients and intercepts.

Students need to know how to visually find the point of intersection. Better students should know how to algebraically find this point.
Students should know how to utilise this point to solve problems.