Determine the slope of the graph of Force against Extension, given the data points (0,0), (1.5,20), (3.1,40), and (4.3,60).

Let's continue with the remaining questions from the image.

8. b) iii)

Step 1: To determine the slope of the graph of Force (y-axis) against Extension (x-axis), we use the data points from the linear region. From the table, the points (0,0), (1.5,20), (3.1,40), and (4.3,60) appear to be in the linear region. We can calculate the slope using two points from this region, for example, (0,0) and (4.3,60).
The slope represents the spring constant ($k$).

$$$$