The graph on the co-ordinate diagram below shows the relationship between degrees Celsius (°C) and degrees Fahrenheit (°F) - Junior Cycle Mathematics - Question 8 - 2022

To convert from Fahrenheit to Celsius, we can rearrange the formula:

$C = \frac{5}{9}(F - 32)$

Substituting 100°F into the formula:

$C = \frac{5}{9}(100 - 32) = \frac{5}{9}(68) \approx 37.78°C$

Thus, 100°F is approximately 37.8°C.

By observing the graph, point S appears to be at the coordinates S: (32, 89).

The formula for the slope (m) between two points (x1, y1) and (x2, y2) is given by:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using the points (35, 95) and (30, 86):

• Let (x1, y1) = (30, 86)
• Let (x2, y2) = (35, 95)

Substituting these values into the slope formula:

$m = \frac{95 - 86}{35 - 30} = \frac{9}{5} = 1.8$

Thus, the slope of the graph is 1.8.