31. \( y=2 x+5 \)

Did you know that linear equations like \( y = 2x + 5 \) represent straight lines on a graph? In this case, the number 2 is the slope, indicating the line rises 2 units for every 1 unit it moves to the right, while 5 is the y-intercept, the point where the line crosses the y-axis at (0, 5). It's all about maintaining a consistent relationship! In the real world, linear equations are used to model a vast array of situations, from calculating expenses to determining distances. For instance, if you were to plot your monthly savings versus time, the slope could represent how much you save each month, while the y-intercept would show your initial savings. It's a simple yet powerful way to visualize countless everyday scenarios!