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Let's go through each of the questions one by one based on the provided linear functions:

1. **Function 1** (graph):  
   From the graph, we can see that the slope is negative, as the line is slanting downwards. It appears to have a slope of approximately \(-1\).

2. **Function 2** (table):  
   To find the slope, we use the formula for slope between two points, \( \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \).  
   For points \((-2, 7)\) and \((-1, 4)\), the slope is:
   \[
   \frac{4 - 7}{-1 - (-2)} = \frac{-3}{1} = -3
   \]

3. **Function 3** (equation):  
   The function is given as \( y = 4x + 3 \), so the slope is \( 4 \).

4. **Function 4** (slope and intercept):  
   The slope is given as \( 2 \).

Now, let's address the specific questions:

**(a) Which functions have graphs with slopes less than \(-2\)?**
- From the above, the slope of Function 2 is \(-3\), which is less than \(-2\).
- None of the other functions have a slope less than \(-2\).

**Answer: Function 2**

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**(b) Which function has the graph with the greatest \(y\)-intercept?**
- Function 1: From the graph, the \(y\)-intercept is approximately \(7\).
- Function 2: The \(y\)-intercept is \(1\) (from the point \( (0, 1) \) in the table).
- Function 3: The \(y\)-intercept is \(3\) (from the equation \( y = 4x + 3 \)).
- Function 4: The \(y\)-intercept is \(-5\) (as given).

**Answer: Function 1** has the greatest \(y\)-intercept of 7.

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**(c) Which function’s graph is the least steep?**
- The "least steep" corresponds to the smallest absolute value of the slope.
- Function 1 has a slope of approximately \(-1\).
- Function 2 has a slope of \(-3\).
- Function 3 has a slope of \(4\).
- Function 4 has a slope of \(2\).

The smallest absolute value is for **Function 1** with a slope of \(-1\).

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Let me know if you'd like any more details on these calculations! 

### Related Questions:
1. How do you calculate the slope from a graph if you don't know the points?
2. How can you find the equation of a line if you're only given its graph?
3. What does it mean for a graph to have a positive or negative slope?
4. How can you determine the steepness of a line just by looking at the slope?
5. Can a function's slope and \(y\)-intercept tell you everything about its graph?

**Tip:** To quickly find the slope from a table, pick two points and use the formula \( \frac{\Delta y}{\Delta x} \).

Four different linear functions are represented. Based on the graphs and the equations provided, answer the following questions:
(a) Which functions have graphs with slopes less than -2?
(b) Which function has the graph with the greatest y-intercept?
(c) Which function's graph is the least steep?

In this problem, four linear functions are provided. Learn how to identify slopes less than -2, find the greatest y-intercept, and determine which function is the least steep. Key concepts include the slope formula and interpreting linear graphs. Suitable for students in Grades 7-10.

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