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A line parallel to the x-axis is a horizontal line. The equation of a horizontal line is of the form y = k, where k is the y-coordinate of any point on the line.
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4 steps4. Determine the equation of the line passing through the point and parallel to the x-axis.
A line parallel to the x-axis is a horizontal line.
The equation of a horizontal line is of the form , where is the y-coordinate of any point on the line.
The line passes through , so its y-coordinate is .
The equation of the line is .
The gradient of any horizontal line is .5. Determine the equation of the line passing through the point and parallel to the y-axis.
A line parallel to the y-axis is a vertical line.
The equation of a vertical line is of the form , where is the x-coordinate of any point on the line.
The line passes through , so its x-coordinate is .
The equation of the line is .
The gradient of any vertical line is .
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