The linear function f(x) generates the ordered pairs shown in the table.

Drag and drop the numbers below into the boxes to complete the sentence.
1 2 3 4 5

The function that models the data in the table is f(x) =  x +  


To determine the function \( f(x) = mx + b \) that models the data in the table, we would need to analyze the relationship between the values of \( x \) and \( f(x) \) (or \( y \)) given in the ordered pairs.

However, since you haven't provided the specific table, I can explain how to generally find the values for \( m \) (the slope) and \( b \) (the y-intercept):

1. **Find the slope (m):** The slope is the change in \( f(x) \) divided by the change in \( x \), which can be calculated using the formula:
   \[
   m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}
   \]
2. **Find the y-intercept (b):** Once the slope is known, you can substitute one of the ordered pairs into the equation \( f(x) = mx + b \) and solve for \( b \).

To help you complete the sentence "The function that models the data in the table is \( f(x) = \_x + \_ \)," I would need the values in the table or ordered pairs.

Could you share the ordered pairs or more details from the table?

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Here are 5 questions based on this concept:

1. How do you calculate the slope of a linear function from two points?
2. What does the slope represent in the context of a linear function?
3. How can you determine the y-intercept from a given table of values?
4. Why is it important to find both the slope and the intercept when modeling data?
5. How do changes in slope affect the graph of a linear function?

**Tip:** The slope tells you how steep the line is, while the y-intercept tells you where the line crosses the y-axis.

The linear function f(x) generates the ordered pairs shown in the table. Drag and drop the numbers below into the boxes to complete the sentence. 1 2 3 4 5 The function that models the data in the table is f(x) = x +

Learn how to model a linear function f(x) = mx + b from a table of ordered pairs. Understand the concepts of slope and y-intercept and how to find the equation of a line. Suitable for students in Grades 6-8.

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