Respuesta :
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
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{132-84}{11-7}=\dfrac{48}{4}=12.[/tex]
Thus, the required numerical value of the slope of the line is 12.
