2. \( y=x-7 \)
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The Deep Dive
Did you know that the equation \( y = x - 7 \) represents a straight line on a graph? The slope is 1, which means for every 1 unit increase in \( x \), \( y \) increases by 1 unit as well. It crosses the y-axis at -7, so it shares a special point where the line meets the vertical axis, making it a perfect visual for understanding linear relationships! In real-world scenarios, you could use this equation to model situations like budgeting. For example, if "x" represents the total funds you have, the equation helps you visualize how much you have left after spending $7. This simple expression becomes a practical tool for making financial decisions, showing how small changes impact your overall budget!