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![### Vocabulary
**Instructions:** Drag and drop the correct definition to each term.
1. **Slope** \
[ __ ] = [ __ ] / [ __ ]
2. **Y-Intercept** \
[ __ ] = [ __ ]
### Available Terms:
- \( x_2 - x_1 \)
- \( y_2 - y_1 \)
- \( b \)
- \( m \)
- \( 0 \)
In the given image, the structure suggests that learners need to match parts of the slope and y-intercept equations to their respective terms. The drag-and-drop interaction enhances engagement and understanding by allowing students to actively participate in the learning process.
**Explanation of Terms:**
- **Slope (\( m \))** is defined as the ratio of the vertical change to the horizontal change between two distinct points on a line. Mathematically, it is expressed as:
\[
\text{Slope} = m = \frac{y_2 - y_1}{x_2 - x_1}
\]
- **Y-Intercept (\( b \))** is the y-coordinate of the point where the line intersects the y-axis. It is the value of \( y \) when \( x \) is 0:
\[
\text{Y-Intercept} = b = 0
\]
This exercise is designed to help students understand and differentiate between key concepts in linear equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32938eb2-0232-4c4a-91f5-dc3a44eec016%2F802590f2-b36c-4ce6-95d2-db0fd7ed316e%2Foybnt0v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Vocabulary
**Instructions:** Drag and drop the correct definition to each term.
1. **Slope** \
[ __ ] = [ __ ] / [ __ ]
2. **Y-Intercept** \
[ __ ] = [ __ ]
### Available Terms:
- \( x_2 - x_1 \)
- \( y_2 - y_1 \)
- \( b \)
- \( m \)
- \( 0 \)
In the given image, the structure suggests that learners need to match parts of the slope and y-intercept equations to their respective terms. The drag-and-drop interaction enhances engagement and understanding by allowing students to actively participate in the learning process.
**Explanation of Terms:**
- **Slope (\( m \))** is defined as the ratio of the vertical change to the horizontal change between two distinct points on a line. Mathematically, it is expressed as:
\[
\text{Slope} = m = \frac{y_2 - y_1}{x_2 - x_1}
\]
- **Y-Intercept (\( b \))** is the y-coordinate of the point where the line intersects the y-axis. It is the value of \( y \) when \( x \) is 0:
\[
\text{Y-Intercept} = b = 0
\]
This exercise is designed to help students understand and differentiate between key concepts in linear equations.
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