Final answer:
The rate of change for a line represents how the dependent variable changes with respect to the independent variable. To find the rate of change, we use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.
Step-by-step explanation:
The rate of change for a line represents how the dependent variable (in this case, y) changes with respect to the independent variable (in this case, x). To find the rate of change, we can use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.
In this question, the line passes through the point (2, -6) and has an initial value of 6. Let's choose another point on the line, say (x, y). Using the formula, we have m = (y - (-6)) / (x - 2). Since the line has a constant slope, we can use any other point on the line.
Therefore, the rate of change for this line is m = (y - (-6)) / (x - 2).