

A worksheet on writing linear equations from graphs in slope intercept form. There are 12 problems. Detailed solutions are included.
This comprehensive, no-prep worksheet provides your students with targeted practice writing linear equations in slope-intercept form directly from graphs. It builds fluency, confidence, and straight-line coordinate geometry mastery in Key Stage 3 (KS3), Key Stage 4 (KS4), and GCSE Mathematics classrooms.
What is Included
- 12 Strategic Practice Problems: A curated set of graphs featuring positive, negative, zero, and fractional gradients to challenge and develop student analytical skills.
- Full Step-by-Step Answer Key: Detailed teacher solution pages showing the chosen points, exact gradient calculations, y-intercepts, and final linear equations.
- Clean and Clear Graphs: High-quality coordinate planes with clearly marked grid lines to eliminate student confusion during individual practice.
Perfect For
- Independent classwork or homework assignments
- High-tier GCSE core algebra revision or retrieval tasks
- Hassle-free cover work and ready-to-use substitute teacher plans
- Targeted exam preparation for linear graphs and equations
Aligned Educational Standards
UK National Curriculum & GCSE Specifications
- Key Stage 3 & 4 Algebra: Find the equation of a straight line from a given graph; identify gradients and intercepts of linear functions algebraically and graphically.
- GCSE Mathematics (AQA, Edexcel, OCR, Eduqas): Work with coordinate geometry; find the equation of a straight line in the form (y = mx + c) from a graph.
- International Curricula (IGCSE / IB MYP): Determine the equation of a straight line from visual representations on coordinate systems.
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