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equations of straight linesparallel lineslines with thesame y-intercepty = 3x + 2y = 1 + 3xy = 3x - 5y = -5 + 2xy = -5 - 3x
A Venn diagram sorts equations of straight lines. One circle is 'parallel lines' and the other is 'lines with the same y-intercept'. Parallel lines only: y = 3x + 2 and y = 1 + 3x. In both circles: y = 3x - 5. Same y-intercept only: y = -5 + 2x and y = -5 - 3x. State where the equation y = 2x + 1 should be written: in the parallel lines circle only, in the same y-intercept circle only, in the overlap, or outside both circles.
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What gradient do the lines in the parallel circle share? What y-intercept do the lines in the other circle share?
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Modelled on Cambridge Checkpoint 0862 · Apr/May 2026 · Paper 2 · Q16