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To determine the equation of the line in slope-intercept form, we use the formula:

\[
y = mx + b
\]

where:
- \( m \) is the slope of the line, and
- \( b \) is the y-intercept.

From the information in the problem:
- The slope \( m = -3 \),
- The y-intercept \( b \) is given as \( (0, -1) \), meaning \( b = -1 \).

Substituting these values into the slope-intercept form:

\[
y = -3x - 1
\]

This is the equation of the line.

Would you like any further details or explanations?

Here are 5 related questions:
1. How do you determine the slope from two given points on a line?
2. What is the general form of a linear equation?
3. How do you convert from slope-intercept form to standard form?
4. How can you graph a line given its equation in slope-intercept form?
5. What is the significance of the y-intercept in a real-world context?

**Tip**: The slope indicates how steep the line is. A negative slope means the line is decreasing as you move from left to right.

Determine the equation of the line in slope-intercept form, given the slope of -3 and y-intercept at (0, -1).

Learn how to determine the equation of a line with a slope of -3 and a y-intercept of (0, -1). This problem demonstrates the application of the slope-intercept formula, a key concept in Algebra. Suitable for students in Grades 8-10.

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