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Is the point (-4, 1/2) on the graph of y= 1\2 x-4 ? How do you know? Show your work/thinking.

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Answer:

no, when x is even, y will be an integer, not a fraction

Explanation:

We observe that the coefficient of x is 1/2, so the x-term will be an integer only if x is a multiple of 2 (even). If the x-term is an integer, y will be an integer.

The given point has x even (-4), so we expect y to be an integer. The given point has y=1/2, not an integer, so the point will NOT be on the graph.

Is the point (-4, 1/2) on the graph of y= 1\2 x-4 ? How do you know? Show your work-example-1
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