Question

Find the coordinates of the image of each of the following points under the reflection in $X-axis$.

$(-5,-3)$

Answer 1

Finding the image of a given point reflected in $X-axis$:

The image of a point$P(x,y)$ under the reflection in the $X-axis$ is given by$P\text{'}(x,-y)$,

where only the sign of ordinate$\left(y\right)$ changes and the sign of abscissa $\left(x\right)$ remains the same.

Therefore, the reflection of the point $\left(-5,-3\right)$ in the $X-axis$ is the point $\left(-5,-(-3)\right)=(-5,3)$