Write the coordinates of a point which lies on the x axis and is at a ...
Coordinates of a point on the x-axis
To find the coordinates of a point on the x-axis that is located 4 units to the right of the origin, we can use the Cartesian coordinate system. In this system, the x-axis represents the horizontal line and the y-axis represents the vertical line. The origin is the point where both axes intersect, which is at (0,0).
Coordinates of a point on the x-axis:
- The y-coordinate of a point on the x-axis is always 0 because it lies on the horizontal line.
- The x-coordinate represents the distance of the point from the origin.
In this case, we need to find a point that is 4 units to the right of the origin. Since it lies on the x-axis, its y-coordinate will be 0. Therefore, the coordinates of the point can be written as (4,0).
Graphical representation:
To graph the point (4,0), we can draw a coordinate plane with the x-axis and y-axis intersecting at the origin (0,0). The x-axis is a horizontal line, and the y-axis is a vertical line.
Steps to graph the point:
1. Draw the x-axis as a horizontal line labeled with numbers on the right side.
2. Draw the y-axis as a vertical line labeled with numbers on the top.
3. Locate the origin at the point where the x-axis and y-axis intersect.
4. Count 4 units to the right of the origin on the x-axis and mark this point.
5. Since the point lies on the x-axis, its y-coordinate is 0.
6. Plot the point (4,0) on the graph.
The resulting graph will show a point on the x-axis, specifically 4 units to the right of the origin. The point will be represented by a dot at (4,0), where the x-coordinate is 4 and the y-coordinate is 0.