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Algebra Difficulty 3.9 AMC 10/12 Find the answer Slovenia

Which two points lie on the graph of a linear function $y = bx + 1$ where $b$ is some non-zero real number?

Pick one

Solution

Only two among the given points always fulfill the equation. These are $(0, 1)$ and $(-\frac{1}{b}, 0)$ .

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Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.