1. \( y=3 x-5 \)

Did you know that the equation \( y = 3x - 5 \) represents a linear function, which means it graphs as a straight line? The number 3 is the slope, indicating that for every unit you move right on the x-axis, the line goes up 3 units. The -5 means the line crosses the y-axis at -5. So, this equation tells you not just how to draw the line but also gives a sneak peek into the relationship between x and y! Now, let's put this equation into real-world terms! Imagine you're running a lemonade stand. If you sell lemonade for $3 per cup and have $5 in expenses, your profit (y) for x cups sold can be modeled by this equation. So, if you sell 10 cups, you can calculate your profit: \( y = 3(10) - 5 = 25 \). Just like that, you’re looking at your earnings—easy peasy!