1. **State the problem:** We need to find the coordinates of point C given the following conditions: - The x-coordinate of C is the same as the x-coordinate of A. - The y-coordinate of C is greater than the x-coordinate of A and less than the y-coordinate of B. - The coordinates of C contain one even and one odd value. 2. **Identify known points:** - Point B is approximately at (6, 8). - Point A's coordinates are not explicitly given, but since C's x-coordinate equals A's x-coordinate, we need A's x-coordinate. 3. **Analyze the conditions:** - Let A = $(x_A, y_A)$ and C = $(x_C, y_C)$. - Given $x_C = x_A$. - $y_C$ satisfies $x_A < y_C < y_B$. - $y_B = 8$. 4. **Determine possible values:** - Since $y_C$ is between $x_A$ and 8, and must be one even and one odd coordinate with $x_C = x_A$. - We need to find $x_A$ from the graph or problem context. Since B is at (6,8), and C's x-coordinate equals A's x-coordinate, and C's y-coordinate is between $x_A$ and 8. 5. **Assuming A's x-coordinate:** - From the graph, if A is at (4, y), then $x_A = 4$. - Then $y_C$ must satisfy $4 < y_C < 8$. - Possible integer values for $y_C$ are 5, 6, or 7. 6. **Check the parity condition:** - Coordinates of C must have one even and one odd value. - If $x_C = 4$ (even), then $y_C$ must be odd. - Among 5, 6, 7, the odd values are 5 and 7. 7. **Final possible coordinates for C:** - $(4, 5)$ or $(4, 7)$. **Answer:** The coordinates of point C are either $(4, 5)$ or $(4, 7)$.