The equation y = -3x + 4 is the equation of a line of best fit. To understand what this equation tells us about the scatter plot, let's use a few points to see how the equation fits the data.
Say, we have two points in the scatter plot: (2, -2) and (3, -7). We can plug in these x-values into the equation and calculate the corresponding y-values.
For x = 2, y = -3 * 2 + 4 = -6 + 4 = -2. This matches the y-value of the first point in the scatter plot, (2, -2).
For x = 3, y = -3 * 3 + 4 = -9 + 4 = -5. This matches the y-value of the second point in the scatter plot, (3, -7).
We can see that the line of best fit fits the data points well. This indicates that the linear relationship between the two variables in the scatter plot can be described by the equation y = -3x + 4. The slope, -3, represents the average rate of change in y for each unit change in x, and the y-intercept, 4, represents the value of y when x is 0.