To solve this problem, we need to compare the slopes of Function A and Function B.

Analyzing the Functions:

Function A is given as: $y = 3x - 5$

This is a linear equation in the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. For Function A:

• The slope $m = 3$.

Function B is represented graphically. To find its slope, we need to identify two points on the line and use the slope formula:

$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$

Identifying Points for Function B:

From the graph:

• The line passes through the points $(0, -2)$ and $(2, 4)$.

Now, let's calculate the slope of Function B:

$\text{slope of Function B} = \frac{4 - (-2)}{2 - 0} = \frac{6}{2} = 3$

Comparing Slopes:

• Slope of Function A = 3
• Slope of Function B = 3

Since both slopes are equal, the statement "The slope of Function A is greater than the slope of Function B" is false, and the statement "The slope of Function A is less than the slope of Function B" is also false. Therefore, neither of the provided options is correct based on the information given.

Would you like more details, or do you have any other questions?

Relative Questions:

1. What does the slope of a line represent in a real-world context?
2. How can you determine if two lines are parallel by looking at their equations?
3. How would the graph of a line change if the slope were negative?
4. What is the y-intercept of Function A, and how does it affect its graph?
5. How can you write the equation of a line given its slope and one point on the line?

Tip: When comparing slopes, remember that the greater the absolute value of the slope, the steeper the line.