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.