Which of the following is the equation of a line that passes through the point (1.4) and is parallel to the x-axis?
A. x=1 B. y=4 C. x=4 D. y=1

Given:

A line passes through the point (1,4) and is parallel to the x-axis.

To find:

The equation of the line.

Solution:

If a line is parallel to x-axis, then the line is a horizontal line. We know that the slope of a horizontal line is always 0. So, the slope of the required line is 0.

The point-slope form of a line is:

Where, m is the slope and is the point.

The slope of the required line is 0 and it passes through the point (1,4). So, the equation of the line is:

The required equation is .

Therefore, the correct option is B.

y > 1/3x

y < = -x + 4

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