A quick overview of interpreting the slope and y-intercept in context from a graph and from a table.

The Ultimate Slope/Y-intercept Handbook 

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So what is the slope and what does it mean? 

In this table, I have highlighted the things that are changing in yellow and the things that are not changing in RED.  

In this case, the yellow numbers are what will change. After one car wash, it is going up by 5, after two car washes, it is going up by 10, etc.

Each time you increase the x by one the profit goes up by ______ ? 

The SLOPE is defined as the RATE OF CHANGE 

You guessed it! 5!!! So the slope is 5. For every additional car wash, the profit will increase by $5.

HSS.ID.C.7: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data

What is NEVER changing in the calculations we did?

CAPTION Half page image nullam nunc eros, vehicula feugiat

It is the the profit of the situation when there are zero car washes done!

in the equation y=mx+b it is the B!!

<a href="https://youtu.be/nc9XHXlxSyM">https://youtu.be/nc9XHXlxSyM</a>

Lets say you and a friend are going to start a car wash to make money. You have to buy some supplies first, totaling about $100. Then, you want to charge $5 per car wash. Lets make a chart showing how much money P, you would profit from washing x cars.

Why do you think that the profit is negative before you start washing cars? 

You try it! Identify the slope and y-intercept in this context. Then put those values into the equation y=mx+b

First, make a table of several points. Then, identify the y value (Money Owed) when x (time) is zero. Then, Identify the growth rate. For each week increase, what does the money owed go up/down by ?

Name

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