Question

Which equation represents a line which is parallel to y=0?A. x=1B. y=x+3C. y=xD. y=6

Answer 1

D. y = 6

Step-by-step explanation

Parallel lines have the same slope.

In this problem, the given line is y = 0, which is a horizontal line at y = 0. Because it is a horizontal line, its slope is 0. From the options, we have to find which line has a slope of 0.

• Option A: x = 1 is a vertical line passing through x = 1. Its slope is undefined → ,not parallel,.

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• Option B: the slope of this line is 1 → ,not parallel.

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• Option C: the slope of this line is also 1 → ,not parallel.

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• Option D:, y = 6 is also a horizontal line, so its slope is 0 → ,this line is parallel ,to the given line.