IGCSE Maths / Graphs of straight lines
Parallel lines
Edexcel International GCSE Maths (4MA1), chapter 6: Graphs of straight lines, specification point 3.3g. Part of the full course.
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Parallel straight lines have the same gradient, so their equations share the same value of m in y = mx + c. To find a parallel line through a given point, keep the gradient and use the point to calculate a new c.