Graph the line. \( y=-5 x+1 \)

To graph the line \( y = -5x + 1 \), start by identifying two key points. First, when \( x = 0 \), \( y = 1 \); this gives you the y-intercept at (0, 1). Next, choose \( x = 1 \), which yields \( y = -5(1) + 1 = -4 \); now you have another point at (1, -4). Plot these two points and draw a straight line through them, which will have a steep negative slope reflecting the '-5' in the equation. Now that you've drawn your line, it's time to consider how you would interpret this in real life! The equation represents how one variable (y) decreases rapidly as another variable (x) increases. This could model various scenarios, such as the relationship between the number of hours worked and the amount of money left to spend, where more hours result in significantly less leisure time—so keep an eye on those slopes both on graphs and in life!