Let's dive into the solution for Example 2 based on the graph shown here.

First, we need to determine the slope of the line.

From the graph, we see that the slope is negative three, indicating that for every unit increase in x, y decreases by three units.

Next, we identify the y-intercept, which is where the line crosses the y-axis.

Here, it's at 3.9. Combining these two pieces of information, we can form the linear equation y -3x 3.9.

This equation succinctly represents our line, showing the consistent linear relationship between x and y in this scenario.