Hi there!
We can apply the equation of a line in this situation, which is y = mx + b. We are given the equation C = 5/9(F - 32), and we can use the distributive property to get C = 5/9F - 5/9(32). You can see the slope of the graph is
59, which means that for an increase of 1 degree Fahrenheit, the increase is
59 of 1 degree Celsius. Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
95 degrees Fahrenheit. Since
95 = 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of
95 degrees Fahrenheit, not
59 degrees Fahrenheit, is equal to a temperature increase of 1 degree Celsius. Therefore, the answer to your query is
D) I and II Only. Hope this helps and have a splendid day!