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Answer
The graph of \( y = -2 \) is a horizontal line that crosses the y-axis at (0, -2).
Solution
The equation \( y = -2 \) represents a horizontal line in the Cartesian coordinate system. This line is located at the y-coordinate of -2 and extends infinitely in both the positive and negative x-directions.
To match this equation with its graph, you would look for a horizontal line that crosses the y-axis at the point (0, -2).
If you have multiple graphs to choose from, the correct graph will be the one that is a straight horizontal line at the height of -2 on the y-axis.
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Simplify this solution Beyond the Answer
This equation represents a horizontal line where the y-value is consistently -2, regardless of the x-value. Picture a straight line running parallel to the x-axis, slicing through the y-axis at -2. It doesn’t matter where you look on this line; all points will maintain the same height! To visualize this, imagine standing on a flat plateau at the y-level of -2. If you take a step left or right (along the x-axis), the elevation doesn’t change one bit—you're still at the same height of -2. That's the beauty and simplicity of horizontal lines in graphs!
