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.

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.