Compare the linear functions expressed by the equation, y = –x + 3, and by data in the table. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 1, 3. Column 2 is labeled y with entries 1, negative 1, negative 4, negative 6. Explain how to determine if these two are the same function expressed in different ways
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Column 1 is labeled x with entries negative 3, negative 1, 2, 5, 10. Column 2 is labeled y with entries 8.5, 5.5, 1, negative 3.5 ...
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SampleAnswer:When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.
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