According to the information given in the exercise:
- In 2010 online sales were $191 billion.
- In sales were $259 billion.
Let be "S" the sales in billions of dollars and "x" the year.
a) By definition, the Slope-Intercept Form of the equation of a line is:

Where "m" is the slope of the line and "b" is the y-intercept.
In order to find the slope, you need to apply the following formula:

Where two points on the line are:

In this case, you can identify these points on the line:

Then, you can find the slope as follows:

You can substitute the slope and the coordinates of one of the points on the line, into this equation:

Then, you can solve for "b", in order to find the y-intercept:

Knowing "m" and "b", you can write the following Linear Function in Slope-Intercept Form to model the given data:

b) You know that the slope of the line of the function S is:

The slope of a line is defined as the change in "y" divided by the change in "x":

You know that, in this case, "S" (the sales in billions) is represented on the y-axis, and the variable "x" (the year) is represented on the x-axis.
Therefore, you can conclude that:

That indicates that the sales increased, on average, by $17 billion per year.
c) In order to determine when the online sales were $242 billion, you have to set up that:

Hence, substituting this value into the function and solving for "x", you get:



Therefore, the answers are:
a)

b) Option A.
c) In 2013 the sales were $242 billion.