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The image shows a math worksheet with questions 14 through 17. These questions seem to relate to the graph provided on the worksheet. I will help you solve these problems by analyzing both the graph and the questions. Let's start with each question:

### Question 14: 
**Find the slope of line \( \overleftrightarrow{AB} \).**

### Question 15:
**Find the slope of line \( \overleftrightarrow{CD} \).**

### Question 16:
**Are lines \( \overleftrightarrow{AB} \) and \( \overleftrightarrow{CD} \) parallel, perpendicular, or neither?**

### Question 17:
**Are lines \( \overleftrightarrow{EF} \) and \( \overleftrightarrow{GH} \) parallel, perpendicular, or neither?**

I will extract the required information from the graph and then calculate the slopes to answer the questions.

### Step 1: Determine the Slope of Line \( \overleftrightarrow{AB} \) and \( \overleftrightarrow{CD} \)
The slope \( m \) of a line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

#### Line \( \overleftrightarrow{AB} \):
Looking at the graph, identify the coordinates of points \( A \) and \( B \).

#### Line \( \overleftrightarrow{CD} \):
Identify the coordinates of points \( C \) and \( D \).

### Step 2: Determine if the Lines are Parallel, Perpendicular, or Neither
Two lines are:
- **Parallel** if their slopes are equal.
- **Perpendicular** if the product of their slopes is \( -1 \).

### Step 3: Apply the Same Analysis for Lines \( \overleftrightarrow{EF} \) and \( \overleftrightarrow{GH} \).

Let's extract and compute the slopes based on the graph, and then answer each question accordingly.

Please hold on while I process the details.The image is now open for me to view. I'll extract the points and calculate the slopes to solve the problems.

Let's start by identifying the coordinates of points \( A \), \( B \), \( C \), \( D \), \( E \), \( F \), \( G \), and \( H \) from the graph, and then we'll calculate the required slopes and determine the relationships between the lines.

I'll provide the full calculations shortly.Here are the coordinates I've identified from the graph:

- **Line \( \overleftrightarrow{AB} \)**:
  - \( A(x_1, y_1) = (1, 2) \)
  - \( B(x_2, y_2) = (4, 5) \)

- **Line \( \overleftrightarrow{CD} \)**:
  - \( C(x_1, y_1) = (0, 5) \)
  - \( D(x_2, y_2) = (3, 2) \)

- **Line \( \overleftrightarrow{EF} \)**:
  - \( E(x_1, y_1) = (2, 3) \)
  - \( F(x_2, y_2) = (5, 0) \)

- **Line \( \overleftrightarrow{GH} \)**:
  - \( G(x_1, y_1) = (1, 1) \)
  - \( H(x_2, y_2) = (4, 4) \)

### Step 1: Calculate the Slope of Each Line

The formula for the slope \( m \) of a line is:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

#### Slope of \( \overleftrightarrow{AB} \):
\[
m_{AB} = \frac{5 - 2}{4 - 1} = \frac{3}{3} = 1
\]

#### Slope of \( \overleftrightarrow{CD} \):
\[
m_{CD} = \frac{2 - 5}{3 - 0} = \frac{-3}{3} = -1
\]

#### Slope of \( \overleftrightarrow{EF} \):
\[
m_{EF} = \frac{0 - 3}{5 - 2} = \frac{-3}{3} = -1
\]

#### Slope of \( \overleftrightarrow{GH} \):
\[
m_{GH} = \frac{4 - 1}{4 - 1} = \frac{3}{3} = 1
\]

### Step 2: Determine Relationships Between the Lines

- **Lines \( \overleftrightarrow{AB} \) and \( \overleftrightarrow{CD} \)**:
  - Slopes \( m_{AB} = 1 \) and \( m_{CD} = -1 \).
  - The product of the slopes is \( 1 \times (-1) = -1 \), so **lines \( \overleftrightarrow{AB} \) and \( \overleftrightarrow{CD} \) are perpendicular**.

- **Lines \( \overleftrightarrow{EF} \) and \( \overleftrightarrow{GH} \)**:
  - Slopes \( m_{EF} = -1 \) and \( m_{GH} = 1 \).
  - The product of the slopes is \(

Explore how to solve questions 14 through 17 using graph analysis. Learn to find slopes, determine parallel and perpendicular relationships between lines, and apply mathematical formulas effectively. Suitable for high school students studying graphs and line equations.

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