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The problem asks for the correct order of the functions based on their **y-intercepts** from least to greatest. Let’s examine each function to find their y-intercepts:

### Function A: 
The equation is given as \( y = 2x + 4 \). 
The **y-intercept** is the constant term in the slope-intercept form \( y = mx + b \), which is **4**.

### Function B:
We need to calculate the equation of the line passing through the points \((-2, -4)\) and \( (4, 14) \).
- The slope \( m \) is calculated as:
  \[
  m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{14 - (-4)}{4 - (-2)} = \frac{18}{6} = 3
  \]
- Using the point-slope form of a line \( y - y_1 = m(x - x_1) \), substituting \( m = 3 \) and \( (x_1, y_1) = (-2, -4) \):
  \[
  y - (-4) = 3(x - (-2))
  \]
  \[
  y + 4 = 3(x + 2)
  \]
  \[
  y + 4 = 3x + 6
  \]
  \[
  y = 3x + 2
  \]
The **y-intercept** is **2**.

### Function C:
Looking at the table, the point where \( x = 0 \) corresponds to the **y-intercept**, which is **3**.

### Now, ordering the y-intercepts:
- Function B: y-intercept = 2
- Function C: y-intercept = 3
- Function A: y-intercept = 4

Thus, the order from least to greatest y-intercept is:

\[
\text{Function B, Function C, Function A}
\]

The correct answer is:  
**Option D: Function B, Function C, Function A**.

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Would you like more details on any of these steps?

Here are 5 questions for further understanding:
1. How do you find the slope of a line between two points?
2. What is the y-intercept, and how can it be determined from a graph or table?
3. How do you use point-slope form to find the equation of a line?
4. What are the key differences between the forms of a linear equation?
5. How does the slope of a line affect its steepness?

**Tip:** In a linear equation, the y-intercept is where the line crosses the y-axis (when \(x = 0\)).

Which is the correct order of the functions from least to greatest y-intercept?

Learn how to order linear functions by their y-intercepts from least to greatest. This problem explores key algebraic concepts, including slope-intercept form and calculating slope using two points. Suitable for Grades 9-10.

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