Final Answer:
Carter's new coordinates after traveling 4 blocks to the right and 2 blocks up from the school are (4, 2).
Step-by-step explanation:
In a coordinate plane, the x-coordinate represents horizontal movement (left or right), and the y-coordinate represents vertical movement (up or down). Starting at the school, Carter moves 4 blocks to the right, which corresponds to a change in the x-coordinate of +4. Additionally, he moves 2 blocks up, resulting in a change in the y-coordinate of +2.
The original coordinates of the school are assumed to be (0, 0) since no specific starting point is provided. Therefore, Carter's new coordinates can be calculated by adding the changes in x and y to the initial coordinates:
Initial coordinates: (0, 0)
Change in x: +4
Change in y: +2
New coordinates:
![\[ x_{\text{new}} = 0 + 4 = 4 \]](https://img.qammunity.org/2022/formulas/mathematics/high-school/ry14vc3egbjvzte42jlkcd63i0v8pgin63.png)
![\[ y_{\text{new}} = 0 + 2 = 2 \]](https://img.qammunity.org/2022/formulas/mathematics/high-school/1kzdzrz5so79gsv168k9qy3voqqdiv03yu.png)
So, Carter's new coordinates are (4, 2) after traveling 4 blocks right and 2 blocks up from the school.