Question

Find the coordinates of the point for the reflection. (-5, 7) across the x - axis

Answer 1

Given the following coordinates:

$(-5,7)$

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,

$\begin{gathered} \text{ Original coordinates: -5,7 } \\ \text{ Reflected across the x - axis: x,y }\rightarrow\text{ x,-y = -5,7 }\rightarrow\text{ -5,-7} \end{gathered}$

Therefore, the coordinates of the reflection across the x - axis is -5, -7.