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Use the drop-down to complete the statement to compare the two functions.

The y -intercept for Function A is _____ the y -intercept for Function B. 


Let's analyze the given information to determine the y-intercepts of both functions and make a comparison.

### For Function A (table):

To find the y-intercept, we look for the value of \( y \) when \( x = 0 \).

- From the table, when \( x = 0 \), \( y = -5 \).

Thus, the y-intercept of Function A is \( -5 \).

### For Function B (equation):

The equation given is:
\[
y = \frac{1}{2}x - 2
\]

In slope-intercept form \( y = mx + b \), where \( b \) is the y-intercept. Here, \( b = -2 \).

Thus, the y-intercept of Function B is \( -2 \).

### Conclusion:

The y-intercept for Function A is \( -5 \), and the y-intercept for Function B is \( -2 \).

Now to complete the statement:

**The y-intercept for Function A is *less than* the y-intercept for Function B.**

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Would you like further details or have any questions? Here are some related questions:

1. How do we calculate the slope of Function A using the table?
2. What is the relationship between the slopes of Function A and Function B?
3. How do we determine if a function is linear or non-linear from a table or equation?
4. What is the meaning of the y-intercept in a real-world context?
5. Can we graph both functions to visualize their differences?

**Tip:** In any linear function, the y-intercept is the point where the line crosses the y-axis (i.e., when \( x = 0 \)).

The y-intercept for Function A is _____ the y-intercept for Function B.

Learn how to compare the y-intercepts of two linear functions, one represented by a table and the other by an equation. Function A's y-intercept is -5, and Function B's y-intercept is -2. This problem is suitable for students in Grades 7-9.

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