Chapter 4.2, Problem 50PFA

To determine

To write:The equation that models Kellie's wages y for the number of hours worked x in slope-point form.

Answer to Problem 50PFA

The equation is $y-12=12(x-1)$ .

Explanation of Solution

Given information:

Kellie earns $12 per hour. She works for x hours and earns y daily wages.

Calculation:

Since Kellie earns $12 per hour, so working for x , she will earn y wages.

We can represent this relation with the following equation,

  $y=12x$ (1)

Now from the given information, we have $x_1=1,y_1=12$ and from the above equation (1), the slope of the line is $m=12$ .

So, equation of the line can be written in slope-point form as,

  $\begin{array}{l}y-y_1=m(x-x_1)\\ y-12=12(x-1)\end{array}$