https://file.aiquickdraw.com/mathbot/file/1729101432290ahvd71td.jpg

Let's analyze the two functions provided:

### Function A:
We are given the following points for Function A:
- \( (-4, -4) \)
- \( (5, 5) \)
- \( (6, 6) \)

To find the slope of Function A, we use the formula for the slope between two points:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points \( (-4, -4) \) and \( (5, 5) \):
\[
m_A = \frac{5 - (-4)}{5 - (-4)} = \frac{5 + 4}{5 + 4} = \frac{9}{9} = 1
\]

So, the slope of Function A is 1.

### Function B:
The equation for Function B is given as:
\[
y = 3x + 3
\]
The slope for Function B is the coefficient of \(x\), which is 3.

### Comparison:
- Slope of Function A: \( m_A = 1 \)
- Slope of Function B: \( m_B = 3 \)

Thus, the slope of Function A is **less than** the slope of Function B.

### Correct Answer:
The second statement is true: **The slope of Function A is less than the slope of Function B.**

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Would you like more details or have any questions? Here are some follow-up questions:

1. How do you calculate the slope of a linear function from two points?
2. What does the slope of a line represent in a graph?
3. Can the slope of a line be negative? If yes, what does that mean?
4. How can you find the y-intercept of a line using its equation?
5. How do we interpret the equation \(y = 3x + 3\) graphically?

**Tip:** When comparing slopes, always remember that the larger the slope, the steeper the line.

Which statement is true? The slope of Function A is greater than the slope of Function B or The slope of Function A is less than the slope of Function B.

This problem compares the slopes of two linear functions, one given by a table of values and the other by an equation. Function A has a slope of 1, and Function B has a slope of 3. The solution involves calculating slopes and comparing them, making it suitable for students in Grades 6-8.

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