Final answer:
The slope of the given linear function is 3, determined by using the formula for the slope with any two points provided in the question and understanding that a linear function has a constant slope throughout.
Step-by-step explanation:
The question concerns determining the slope of a linear function based on given points. To find the slope, we can use any two points from the table and apply the formula slope (m) = (y2 - y1) / (x2 - x1). Let's use the points (1, 4) and (2, 7). The slope calculation would be (7 - 4) / (2 - 1) = 3 / 1 = 3. Therefore, the slope of the function is 3, which represents the dependence of y on x, indicating how much y changes for each unit change in x.
It is also important to note that the slope is consistent along a straight line, as provided in the context of Figure A1 Slope and the Algebra of Straight Lines. Since the slope is constant, we can confirm that our linear function's graph would have a consistent rise over the run throughout.