Consider points A to F shown on the coordinate plane.
A graph is shown in the xy-plane. The values on the x-axis ranges from negative 8 to 8 in increments of 2 and the values on the y-axis ranges from negative 8 to 8 in increments of 2. Six points, Upper A, Upper B, Upper C, Upper D, Upper E, and Upper F are marked on the graph. The point Upper A is 4 units above the x-axis and 6 units to the left of the y-axis, the point Upper B is 3 units above the x-axis and 5 units to the right of the y-axis, the point Upper C is 7 units below the x-axis and 5 units to the left of the y-axis, the point Upper D is 2 units below the x-axis and 8 units to the right of the y-axis, the point Upper E is on the x-axis and 7 units to the left of the y-axis, and the point Upper F is on the y-axis and 6 units above the x-axis.
What are the coordinates of points C, D, and E?
The coordinates of point C are (-5, -7).
The coordinates of point D are (8, -2).
The coordinates of point E are (-7, 0).
To find the coordinates of points C, D, and E, we can use the information provided in the question.
The coordinates of point C are described as "7 units below the x-axis and 5 units to the left of the y-axis."
Since the x-axis is horizontal, moving "below" the x-axis means moving downwards in the negative y-direction. Therefore, the y-coordinate of point C is -7.
Moving "to the left" of the y-axis means moving horizontally in the negative x-direction. Therefore, the x-coordinate of point C is -5.
So, the coordinates of point C are (-5, -7).
Similarly, the coordinates of point D are described as "2 units below the x-axis and 8 units to the right of the y-axis."
So, the y-coordinate of point D is -2 (since it is below the x-axis) and the x-coordinate of point D is 8 (since it is to the right of the y-axis).
Therefore, the coordinates of point D are (8, -2).
Lastly, the coordinates of point E are described as "on the x-axis and 7 units to the left of the y-axis."
Since point E lies on the x-axis, its y-coordinate is 0.
Moving "to the left" of the y-axis means moving horizontally in the negative x-direction. Therefore, the x-coordinate of point E is -7.
Thus, the coordinates of point E are (-7, 0).
To summarize:
Coordinates of point C: (-5, -7)
Coordinates of point D: (8, -2)
Coordinates of point E: (-7, 0)
To find the coordinates of points C, D, and E, we need to use the information given in the problem.
Let's start with point C. The problem states that point C is 7 units below the x-axis (negative y-direction) and 5 units to the left of the y-axis (negative x-direction). This means that the y-coordinate of point C is -7 and the x-coordinate is -5. Therefore, the coordinates of point C are (-5, -7).
Next, let's find the coordinates of point D. The problem states that point D is 2 units below the x-axis (negative y-direction) and 8 units to the right of the y-axis (positive x-direction). This means that the y-coordinate of point D is -2 and the x-coordinate is 8. Therefore, the coordinates of point D are (8, -2).
Lastly, let's determine the coordinates of point E. The problem states that point E is on the x-axis and 7 units to the left of the y-axis (negative x-direction). Since point E lies on the x-axis, its y-coordinate is 0. The x-coordinate is given as 7 units to the left of the y-axis, which is -7. Therefore, the coordinates of point E are (-7, 0).
In summary:
- The coordinates of point C are (-5, -7).
- The coordinates of point D are (8, -2).
- The coordinates of point E are (-7, 0).