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

Understanding the line equation \( y=3x-5 \) takes us back to the world of linear equations. This representation shows that for every one unit increase in \( x \), \( y \) increases by 3. The line crosses the y-axis at -5, which is also known as the y-intercept. Graphing this line reveals its steepness, giving us a clear visual of how \( y \) changes with \( x \)! In the real world, linear equations like this one are everywhere! From predicting costs, such as a grocery bill that increases with the number of items (with a fixed base cost), to tracking speed and distance in travel scenarios, understanding this concept helps us make sense of various trends. So, whether you’re budgeting for a party or planning a road trip, understanding the relationship expressed in an equation like this is super handy!