Let's analyze the information provided to determine the correct answer.

Step 1: Identify the slope of Function A

The equation for Function A is given as: $y = 4x - 4$ In this form, $y = mx + b$, where $m$ represents the slope. Here, the slope $m$ for Function A is 4.

Step 2: Calculate the slope of Function B

For Function B, we have a table of values:

• When $x = -7$, $y = -10$
• When $x = -6$, $y = -8$
• When $x = 5$, $y = 14$

To find the slope $m$ of Function B, we use the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Let's pick two points, say $(-7, -10)$ and $(-6, -8)$: $m = \frac{-8 - (-10)}{-6 - (-7)} = \frac{-8 + 10}{-6 + 7} = \frac{2}{1} = 2$ Thus, the slope of Function B is 2.

Step 3: Compare the Slopes

• Slope of Function A = 4
• Slope of Function B = 2

Since 4 is greater than 2, the slope of Function A is greater than the slope of Function B.

Answer

The correct statement is:

• The slope of Function A is greater than the slope of Function B.

Would you like more details or have any questions?

Here are some related questions to explore further:

1. How do we determine the y-intercept from the function equation?
2. What does it mean for a function to be linear?
3. How do we interpret the slope in real-world problems?
4. What happens to the graph of a function if we increase the slope?
5. How can we verify the slope using more points?

Tip: When comparing functions, always check if they are in the same form (like slope-intercept form) for easier comparison of slopes and intercepts.