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TL;DR: Think of a linear equation as a clean little description of a straight line. Once you know two things, the slope (call it m) and the y-intercept (call it b), you can write the whole line in slope-intercept form, y equals mx plus b, in a single move. The slope tells you how steep […]
In standard form Ax + By = C, the x-intercept comes from setting y = 0 and solving for x, and the y-intercept from setting x = 0 and solving for y. Below: the method step by step, worked examples, and the sign errors that most often flip an answer.
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