Help your students prepare for their Maths GCSE with this free equation of a line worksheet of 30+ questions and answers
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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Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.