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Find the equation of straight line parallel to axis and at a distance of units.
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Q. Find the equation of straight line parallel to axis and at a distance of units.
- Characteristics of y-axis line: Understand the characteristics of a line parallel to the y-axis.A line parallel to the y-axis is a vertical line. Vertical lines have an undefined slope and their equation is in the form of . This constant value represents the distance from the y-axis.
- Determine constant value: Determine the constant value for the equation of the line.Since the line is at a distance of units from the -axis, the constant value will be the -coordinate of every point on the line. As the line is parallel to the -axis, this distance is the same for all points on the line.
- Write line equation: Write the equation of the line.The equation of the line parallel to the y-axis and units away from it is . This equation means that for any value of , the value of will always be .
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