To solve this problem, let's analyze the slope of each function:

Function A (Graph Analysis)

From the graph of Function A, it is a linear function with a positive slope. To find the slope, we can pick two points on the line:

• The line passes through the points $(0, -10)$ and $(4, 6)$.

Using the formula for the slope, $m = \frac{y_2 - y_1}{x_2 - x_1}$: $m = \frac{6 - (-10)}{4 - 0} = \frac{6 + 10}{4} = \frac{16}{4} = 4$ Thus, the slope of Function A is $4$.

Function B (Table Analysis)

For Function B, we can calculate the slope using any two points from the table. Let's use the points $(-4, -17)$ and $(2, 13)$: $m = \frac{13 - (-17)}{2 - (-4)} = \frac{13 + 17}{2 + 4} = \frac{30}{6} = 5$ So, the slope of Function B is $5$.

Comparison

The slope of Function A is $4$, while the slope of Function B is $5$. Since $4 < 5$, the correct statement is:

"The slope of Function A is less than the slope of Function B."

Would you like more details, or do you have further questions?

Here are some related questions to expand your understanding:

1. How do you determine the slope of a line from a graph?
2. Can you calculate the slope if given only one point and the y-intercept?
3. Why does a larger slope indicate a steeper line?
4. What happens to the slope if you reverse the order of points in the formula?
5. How do positive and negative slopes differ in terms of line direction?

Tip: When calculating slope from a graph, always pick points that intersect the grid for accuracy.