About This Lesson
<p>How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?</p> Aligned to Common Core State Standard: 8.EE.6
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Use similar triangles to explain why the slope ? is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation ? = ?? for a line through the origin and the equation ? = ?? + ? for a line intercepting the vertical axis at ?.
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An excellent resource for teaching y=mx + c and showing visual what each part means. Pupils can move points around a grid into different places and see how the gradient or y-intercept is affected. Ideal for introducing the topic, or could be used as some sort of consolidation lesson where pupils have to investigate for themselves.