https://file.aiquickdraw.com/mathbot/file/1725988394794zu770p68.jpg

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.

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 involves comparing the slopes of two linear functions, Function A given by y = 3x - 5 and Function B represented graphically. The problem is suitable for students in Grades 7-9.

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