Final answer:
The slope of the line described in Figure A1 is b) 3, as it clearly states that there is a rise of 3 units for every 1 unit increase along the straight line.
Step-by-step explanation:
The question presents a scenario where the student needs to determine the slope of a line. Based on the information provided, specifically Figure A1, which says that the line has a slope of 3, the correct answer to the student's question is option b) 3. This is because the text explicitly states that there is a rise of 3 units on the vertical axis for each increase of 1 unit on the horizontal axis along the straight line, and the slope remains constant throughout.
To confirm our understanding of the slope, it's worth noting the general formula for finding the slope between any two points, which is (y2 - y1) / (x2 - x1). Applying this formula to the additional points provided, Point 1: (1, 0.1) and Point 2: (7, 26.8), gives us a slope of (26.8 - 0.1) / (7 - 1), which simplifies to 26.7 / 6 or approximately 4.45, which is close to option b) 4.5. However, since this additional pair of points is not the focus of the original question regarding the line described in Figure A1, the correct answer remains b) 3.