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Topic 5: Linear equations and their graphs

Linear equations

5 hours

• Solve linear equations, including equations with variables on both sides and equations with rational solutions.
• Develop a linear equation from a description in words.
• Solve practical problems involving linear equations.

Straight-line graphs

8 hours

• Understand and use the slope-intercept form of a linear function, = + where is slope (gradient) and is -intercept.
• Construct a straight-line graph using a linear function of the form, = + where is slope (gradient) and is -intercept.
• Determine the slope (gradient), -intercept and -intercept of a straight line from both its equation and its graph.
• Interpret, in context, the slope (gradient) and intercept of a linear function used to model and analyse a practical situation.
• Construct and analyse a straight-line graph to model a given linear relationship, e.g. modelling the cost of filling a fuel tank of a car against the number of litres of petrol required.