1. **State the problem:** We need to reflect given points over the line $y = -1$.
2. **Formula and rule:** To reflect a point $(x,y)$ over the horizontal line $y = k$, the reflected point $(x',y')$ is given by:
$$y' = 2k - y$$
The $x$-coordinate remains the same because the reflection is vertical.
3. **Explanation:** The line $y = -1$ is horizontal, so the vertical distance from the point to the line is $y - (-1) = y + 1$. The reflected point is the same distance on the opposite side, so:
$$y' = -1 - (y + 1) = -1 - y - 1 = -2 - y$$
But using the formula $y' = 2k - y$ with $k = -1$ is simpler.
4. **Example:** If a point is $(x, y)$, its reflection over $y = -1$ is:
$$x' = x$$
$$y' = 2(-1) - y = -2 - y$$
5. **Summary:** To reflect any point over $y = -1$, keep $x$ the same and replace $y$ with $-2 - y$.
This completes the reflection rule over $y = -1$.
Reflect Over Y= 1 9E6Bef
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