Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-3 Linear Functions and Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 79: 46


$y=10x+12$ 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 $\frac{miles}{hour}$.
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