For example, let’s consider y=mx+b a “shape”. Lot’s of equations match this. Like, y=4x-5 or y=⅔ x+7. There are other equations that can make the same line. Like y+5=4x or -2x+3y=21. However, we cannot treat the latter equations the same way to interpret slope and y-intercept.
Their structure is different, and requires a different approach. In contrast, everything that matches a slope-intercept form or “shape” can be interpreted the same way.
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