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The coordinates of a points, which ...

The coordinates of a points, which lies on negative x-axis at a distance of 6 units from y-axis, are (-6,0).

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To solve the problem, we need to determine the coordinates of a point that lies on the negative x-axis at a distance of 6 units from the y-axis. ### Step-by-Step Solution: 1. **Understanding the Axes**: - The x-axis is the horizontal line, and the y-axis is the vertical line in the coordinate plane. The negative x-axis is the part of the x-axis where the x-coordinates are negative. **Hint**: Remember that the x-axis extends left into negative values and right into positive values. 2. **Identifying the Distance from the y-axis**: - The problem states that the point is 6 units away from the y-axis. The y-axis is the line where x = 0. Therefore, if a point is 6 units away from the y-axis on the negative x-axis, its x-coordinate will be -6. **Hint**: The distance from the y-axis can be represented as the absolute value of the x-coordinate. 3. **Determining the y-coordinate**: - Since the point lies on the x-axis, the y-coordinate must be 0 (as all points on the x-axis have a y-coordinate of 0). **Hint**: Remember that any point on the x-axis has a y-coordinate of 0. 4. **Writing the Coordinates**: - Combining the x-coordinate and y-coordinate, we find that the coordinates of the point are (-6, 0). **Hint**: Coordinates are written in the format (x, y). 5. **Conclusion**: - Therefore, the coordinates of the point that lies on the negative x-axis at a distance of 6 units from the y-axis are (-6, 0). ### Final Answer: The coordinates of the point are (-6, 0).
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