1. The problem states that £1 = €1.55 and the graph shows a straight line relating pounds (£) to euros (€). 2. The points on the graph are (0, a) and (1, b). Here, the x-axis represents pounds and the y-axis represents euros. 3. Since the graph is a straight line, the point (0, a) is the y-intercept, meaning when pounds = 0, euros = a. 4. The point (1, b) means when pounds = 1, euros = b. 5. Given £1 = €1.55, the point (1, b) must be (1, 1.55), so $b = 1.55$. 6. Since the exchange rate is proportional and there is no fixed fee, the line passes through the origin, so $a = 0$. 7. Therefore, the values are $a = 0$ and $b = 1.55$. Final answer: $a = 0$, $b = 1.55$