Consider the equation \( (y-4)=3(x-5) \).

This equation represents a linear function in slope-intercept form. If we rearrange it to y = mx + b, we find that the slope (m) is 3, indicating that for every one unit you move to the right along the x-axis, the value of y increases by 3. This means the line rises steeply and is perfect for visualizing relationships and trends in data! In real-world applications, such equations can model various scenarios, such as predicting costs or displaying trends over time. For instance, if x represents the number of hours worked and y represents the earnings, this equation could help someone forecast their income based on hours worked, making budgeting and planning easier!