Answer
$y=10x+12$
Your slope is the change of money in your wallet per week.
The units would be $\frac{dollars}{week}$.
Work Step by Step
The equation is not quite in slope intercept form when it is $y=12+10x$.
By simply rearranging the values on the right side (which you can do because it is only addition) you will get
$y=10x+12$.
Even though this is the same equation, it is more true to the $y=mx+b$ format.
In this situation, your slope represents the change in total money you have per week. The slope of a line always represents $\frac{y}{x}$ which happens to be $\frac{dollars}{week}$.
With a slope of 10, the money in your wallet increases by 10 dollars per 1 week.
This idea of slope applies to every graph. The speed of a car can be found by graphing the distance the car travels on the y-axis and the time elapsed on the y-axis. The speed of the car will be the slope of the graph. That is why speed is measured in miles per hour or $\frac{miles}{hour}$.