Given the following coordinates:
![(-5,7)](https://img.qammunity.org/2023/formulas/mathematics/college/yd13sj2swpwg47zz32lfn0thy2ae2cy355.png)
Reflecting across the x - axis:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).
We get,
![\begin{gathered} \text{ Original coordinates: -5,7 } \\ \text{ Reflected across the x - axis: x,y }\rightarrow\text{ x,-y = -5,7 }\rightarrow\text{ -5,-7} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/esurxbi86im1hlephwddifzxvxix92fg7q.png)
Therefore, the coordinates of the reflection across the x - axis is -5, -7.