Graphing Linear Functions



Starting Points
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               Lesson #2: What is a Starting Point?  

Definition: A starting point is the beginning value in a linear function.

Example #1: You decide to begin a savings account where you will deposit $10 every week. To open a savings account, your local bank requires an initial deposit of $50.

What is the starting point?
- Ask yourself, "What was the beginning value of money in your bank account?"

- If you said, $50, you are correct!

What can I learn from the graph?
- Notice on the graph to the right, the starting point has been "pointed" out! This is the beginning value of your deposit and the amount of money in your bank account, grows from there.

- The starting point will always be found on the y-axis! The y-axis always represents the beginning in a word problem.

Graph of money in bank account versus the number of weeks.  Starting point has been pointed out on the graph.

TRY THIS ONE ON YOUR OWN!

Example #2: You want to start a video game club at your school with some friends. The 5 of you decide to have your first meeting and plan to have one meeting each month. During that first month you find more students who would like to join your club. Your club begins to grow by 7 members each month! What is the starting point in this scenario?

Using what you learned from Example #1, try your best to sketch a graph of the line that models this function and label the starting point. 


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