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Here are the answers to the questions in the image:

1. **Complete the Sentence:** The linear equation \( y = \frac{1}{2}x + 3 \) is written in **slope-intercept** form.

   - **Explanation:** The equation is in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. This is known as the slope-intercept form of a linear equation.

2. **Vocabulary:** A line of best fit has a correlation coefficient of \(-0.98\). What can you conclude about the slope of the line?

   - **Answer:** The slope of the line is negative and very close to \(-1\), indicating a strong negative linear relationship between the variables.

   - **Explanation:** The correlation coefficient (denoted as \( r \)) measures the strength and direction of a linear relationship. Since \( r = -0.98 \), the relationship is strong (close to \(-1\)) and negative, meaning as one variable increases, the other decreases.

Would you like more details or have any questions? Here are some related questions you might consider:

1. How do you convert a linear equation from standard form to slope-intercept form?
2. What are other forms of linear equations besides slope-intercept form?
3. How does the value of the slope affect the steepness of a line?
4. What does a correlation coefficient of \( 0 \) indicate about the relationship between two variables?
5. How can the correlation coefficient help in determining the strength of a relationship?

**Tip:** When interpreting the slope of a line, remember that a positive slope indicates an increasing relationship, while a negative slope indicates a decreasing relationship.

Explore the concepts of linear equations in slope-intercept form and the implications of a correlation coefficient of -0.98 on the slope of a line. This analysis is perfect for high school students learning about algebra and statistics.

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