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Find the equation of the line, which is parallel to y-axis at a distance of `2` units to the right of it.

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To find the equation of a line that is parallel to the y-axis and located 2 units to the right of it, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Position of the Line**: - A line that is parallel to the y-axis will have the same x-coordinate for all points on that line. - Since we need the line to be 2 units to the right of the y-axis, we can visualize that the y-axis is at x = 0. **Hint**: Remember that lines parallel to the y-axis have a constant x-value. 2. **Determine the x-coordinate**: - The line is 2 units to the right of the y-axis, which means the x-coordinate of our line will be 2. **Hint**: The distance to the right of the y-axis is positive, so we add 2 to the x-coordinate of the y-axis. 3. **Formulate the Equation**: - Since the line is vertical and parallel to the y-axis, the equation of the line can be expressed in the form \( x = a \), where \( a \) is the x-coordinate we determined. - Therefore, the equation of the line is \( x = 2 \). **Hint**: Vertical lines are represented by equations of the form \( x = \text{constant} \). ### Final Answer: The equation of the line that is parallel to the y-axis and 2 units to the right of it is: \[ x = 2 \]
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