Maths Resources GCSE Worksheets

# Equation Of A Line Worksheet

• Section 1 of the equation of a line worksheet contains 20+ skills-based equation of a line questions, in 3 groups to support differentiation
• Section 2 contains 3 applied equation of a line questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 3 foundation and higher level GCSE exam style questions on equation of a line
• Answers and a mark scheme for all equation of a line questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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### Equation of a line at a glance

Each straight line has an equation. Horizontal lines have equations of the form y=a and vertical lines have equations of the form x=a, where a is a constant. Sloping lines have equations of the form y=mx+c where m is the gradient of the line and c is the y intercept of the line.

To find the equation of a straight line, we start by finding the gradient of the line. To do this, we pick two points on the line and calculate (change in y) / (change in x) between the two points. This tells us the gradient, how steep the line is. We then need to find the y intercept. The y intercept is the y-coordinate of the point at which the line crosses the y axis. We can then insert the gradient, m, and the y intercept, c, into the equation y=mx+c. For example, if the gradient of a line is 2 and it crosses the y axis at (0, 1), the equation of the line would be y=2x+1.

Looking forward, students can then progress to additional straight line graphs worksheets and other algebra worksheets, for example a sequences worksheet, simultaneous equations worksheet or straight line graphs worksheet.

For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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