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Write the linear equation which is par...

Write the linear equation which is parallel to x axis and is at distance of 2 units from the origin in upwards direction

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To find the linear equation that is parallel to the x-axis and at a distance of 2 units from the origin in the upwards direction, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Position of the Line**: - A line parallel to the x-axis means it will have the same y-coordinate for all points on the line. - Since the line is at a distance of 2 units from the origin in the upwards direction, we need to consider the positive y-direction. 2. **Identify the y-coordinate**: - The distance of 2 units upwards from the origin (0, 0) means the y-coordinate of the line will be +2. - Therefore, the line will be at the point (x, 2) where x can take any value. 3. **Write the Equation**: - The general form of a line parallel to the x-axis is given by the equation \( y = a \), where \( a \) is the constant y-coordinate. - In this case, since the y-coordinate is 2, the equation of the line is: \[ y = 2 \] ### Final Answer: The linear equation which is parallel to the x-axis and is at a distance of 2 units from the origin in the upwards direction is: \[ y = 2 \]
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