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The x-axis is the horizontal axis so you want to know if y=-5x is a horizontal line.

The easiest way to check is to test a few points. For example if you plug in 0 for x, you get 0 for y. If you plug in 1 for x, you get -5 for y. Since you get different values for y, it isn't a horizontal line.

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Q: Is y equals -5x parallel to x axis?
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