A worksheet on finding the equation of a straight line given the points of intersection with the axes. The students are required to substitute the y-intercept on the equation y=ax+b to find b and then substitute the x-intercept on the resulting equation to find a. There are 18 problems and detailed solutions are provided.

Looking for a targeted way to help your students master finding the equations of straight lines? This comprehensive, ready-to-print maths worksheet focuses entirely on finding the equation of a line from its axis intercepts and writing the final answer in the form y = mx + c.

Whether your students are just learning about linear graphs or need a rigorous revision tool ahead of exams, this resource provides structured practice to build true fluency.

What is Included?

• 18 Carefully Crafted Practice Questions: A scaffolded set of problems designed for gradual skill progression.
• Complete Step-by-Step Solutions: A full answer key showing exactly how to substitute coordinate points into the formula y = ax + b (or y = mx + c), solve for the y-intercept, and calculate the gradient.

Skill Progression & Question Types
This worksheet is broken down into distinct sections to help you easily differentiate instruction:

• Questions 1–3: Straight lines passing through the origin (0, 0) to establish a baseline understanding of gradients.
• Questions 4–12: Lines with integer x-intercepts and y-intercepts to practice basic algebraic substitution.
• Questions 13–18: Advanced practice featuring fraction intercepts to challenge higher-ability students and reinforce operations with rational numbers.

Why Teachers Love This Resource

• Zero Preparation Needed: Simply print and distribute for an instant classwork assignment, independent study task, or cover lesson.
• Perfect for Layout and Working: The structured grid layout leaves plenty of physical space in each box for students to show their algebraic working out.
• Easy Self-Assessment: The detailed, worked-out solutions make it incredibly easy for students to self-mark or for teachers to grade in a flash.

Target Audience & Curriculum
FitThis worksheet is designed to align with secondary school mathematics frameworks and is an ideal fit for:

• Key Stage 3 (KS3) Maths: For stretching higher-ability students working on linear graphs and gradients.
• Key Stage 4 (KS4) / GCSE Maths (Foundation & Higher): Excellent revision for coordinates, straight-line graphs, and intercept problems.