Determine the slope of the line represented by the equation \( y = -5x + 7 \).

The equation you have, \( y = -5x + 7 \), is in the slope-intercept form, which is \( y = mx + b \). Here, \( m \) represents the slope of the line. In this case, the slope \( m \) is -5, meaning that for every unit increase in \( x \), \( y \) decreases by 5 units. So, grab your graphing paper and watch that line steeply decline! Now, if you're thinking about real-world applications, consider this: slope can describe various situations, such as a car's speed on a hill or even economic trends. If you plot \( y = -5x + 7 \), you'll find that it might represent a situation where costs decrease with increase in production, leading to interesting discussions in business or finance!