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Equation Of A Line Worksheet
Help your students prepare for their Maths GCSE with this free equation of a line worksheet of 30+ questions and answers
- 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.
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