Graph the equation \( y=1 \) by plotting points
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To graph the equation \( y = 1 \), you can create a set of points where \( y \) always equals 1, regardless of the \( x \) value. For example, you can choose various \( x \) values like -3, 0, 2, and 5. For each of these \( x \) values, the corresponding \( y \) value will be 1. So, your points will be (-3, 1), (0, 1), (2, 1), and (5, 1). When you plot these points on a coordinate plane, you'll find they all line up horizontally, creating a straight line at \( y = 1 \). One fun way to visualize this is to imagine a tightrope stretched between two sturdy trees, where the rope represents the line \( y = 1 \). No matter how far you walk along the rope (the \( x \)-axis), you're always at the same height (the \( y = 1 \) line). It's a perfect demonstration of how certain equations result in constant values, showcasing the beauty and simplicity of linear equations!