Final answer:
The provided x and y values represent a linear relationship with a consistent rate of change. The slope of the line is 1, and with the values given, we can determine the equation of the line to be y = x - 5.
Step-by-step explanation:
The question provides a series of 'x' and 'y' values that most likely represent a linear relationship seen in coordinate pairs. We have x-values of 5, 8, 11, 14, and corresponding y-values of 0, 3, 6, 9. It appears that for each increase of 3 in the x-value, the y-value increases by 3. This indicates a consistent rate of change, suggesting a linear function with a slope of 1, because the ratio ∈y/∈x = 3/3 = 1.
To write the equation of this linear relationship, we use the format y = mx + b, where m is the slope and b is the y-intercept. Since the y-value is 0 when x is 5, we can substitute these values to find the y-intercept (b).
y = mx + b
0 = (1)(5) + b
b = -5
Therefore, the equation of the line is y = x - 5.