Write the equation of the function in the form \( y=m x+b \)

To write the equation of a function in the form \( y = mx + b \), you need to identify the slope \( m \) and the y-intercept \( b \). The slope indicates how steep the line is and the direction it goes—if \( m \) is positive, the line rises as it moves to the right, while a negative \( m \) means it falls. The y-intercept \( b \) is the point where the line crosses the y-axis. For example, if you have two points through which the line passes, like (1, 2) and (3, 4), you can calculate the slope and find the equation! A fun fact: Did you know that the concept of linear equations has been around for thousands of years? The Babylonians devised methods to solve equations, laying the groundwork for what we now study in algebra. Linear equations are just the tip of the iceberg in a rich mathematical history! Now, let’s talk about practical uses! Linear equations are everywhere in real life. Whether you’re planning a budget (y = monthly savings, x = number of months) or figuring out the distance to a destination (y = distance, x = time), linear relationships help us model everyday scenarios and make informed decisions. So, the next time you come across a straight line graph, remember it's not just math; it’s a tool for life!