Math Snap

STEP 1

Assumptions1. The point to be reflected is $(10,-)$. The reflection is over the $x$-axis

STEP 2

The rule for reflecting a point over the $x$-axis is to change the sign of the $y$-coordinate while keeping the $x$-coordinate the same.$$'(x,y) =(x,-y)$$

STEP 3

Now, plug in the coordinates of point $$ into the reflection rule.
$$'(x,y) =(10,-(-2))$$

Calculate the new $y$-coordinate.
$$'(x,y) =(10,2)$$The image of $(10,-2)$ after a reflection over the $x$-axis is $'(10,2)$.