Two weeks ago Audrey earned $84 for 7 hours of work. This week, she earned 132 for 11 hours of work. Find the numerical value of the slope of the line.

Question

asked Jun 6, 2018 183k views

2 Answers

Tomgi · Answer 1 · 2018-06-10T08:28:23+0000

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

m=(d-b)/(c-a).

Therefore, the slope of the given line is

m=(132-84)/(11-7)=(48)/(4)=12.

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