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The slope-intercept form of a line is written as:

\[
y = mx + b
\]

where:
- \( m \) is the slope of the line.
- \( b \) is the \( y \)-intercept (the point where the line crosses the \( y \)-axis).

To write the equation of a line given its slope and \( y \)-intercept:

1. **Substitute the slope** into the \( m \) position.
2. **Substitute the \( y \)-intercept** into the \( b \) position.

The completed sentence in the image would be:

"Substitute the slope for **\( m \)** and the \( y \)-intercept for **\( b \)** in the slope-intercept form."

Would you like more details or have any questions about this process?

Here are five related questions that expand on this concept:
1. How do you determine the slope from two points on a line?
2. What does the slope represent in a real-world context?
3. How can you find the \( y \)-intercept if you have a point and the slope?
4. How do you convert a linear equation from standard form to slope-intercept form?
5. What is the significance of the sign of the slope in a linear equation?

**Tip:** To quickly identify the slope and \( y \)-intercept of a line, rearrange the equation into the form \( y = mx + b \). The coefficient of \( x \) will be the slope, and the constant term will be the \( y \)-intercept.

Explain how you can use slope-intercept form to write an equation of a line given its slope and y-intercept.

Learn how to use the slope-intercept form to write the equation of a line when given its slope and y-intercept. This algebraic concept is vital in understanding linear equations and their applications, perfect for students in Grades 7-9.

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