Answer: The required numerical value of the slope of the line is 12.
Step-by-step explanation: Given that two weeks ago Audrey earned $84 for 7 hours of work. This week, she earned 132 for 11 hours of work.
We are to find the numerical value of the slope of the line.
Let x represents the number of hours of work and y represents the corresponding earning.
Then, two points on the line will be (x, y) = (7, 84) and (11, 132).
We know that
the slope of a line passing through the points (a, b) and (c, d) is given by

Therefore, the slope of the given line is

Thus, the required numerical value of the slope of the line is 12.