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Mathematics - Algebra

The equation doesn't change just because you choose different points. If those points are both on the line, then generating an equation from those two points will have to result in the same line being graphed. A line stretches forever in both directions. In order for a different graph to appear, at least one point must be off the original line.

I have some questions about this statement
Why does one point need to be off the scale? Does it really matter? If the line stops does it mean the end of the equation?

Solution Preview

Unless one of the two points that you choose is off the original line, the slope (gradient) of the line will be the same as that

of the original line. This will result in the original line being graphed again and not any ...

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