Question

part a)what is the slope of the line part b)how much does her pay increase for each hour worked

Answer 1

From the given graph, let's solve for the following:

• (a) The slope of the line.

To find the slope of the line, apply the slope formula:

$m=\frac{y2-y1}{x2-x1}$

Now, take two points on the line:

(x1, y1) ==> (0, 45)

(x2, y2) ==> (5, 120)

Input values into the slope formula and find the slope of the line:

$\begin{gathered} m=\frac{120-45}{5-0} \\ \\ m=\frac{75}{5} \\ \\ m=15 \end{gathered}$

The slope of the line, m, = 15

• (b.) How much does her pay increase for each hour worked.

The slope of a line can also be defined as the average rate of change.

Since the slope of the line is 15, we can say her pay increases by $15 for each hour worked.

ANSWER:

• (a) Slope = 15

• (b) Her pay increases by $15 each hour.