The problem asks for the equation of a line in point-slope form that passes through the point $(-1, -4)$ and has a slope of $-3$.

The point-slope form of a line is given by the equation:

$y - y_1 = m(x - x_1)$

Where:

• $m$ is the slope of the line,
• $(x_1, y_1)$ is the point through which the line passes.

Given:

• Slope $m = -3$,
• Point $(x_1, y_1) = (-1, -4)$.

Substituting these values into the point-slope form:

$y - (-4) = -3(x - (-1))$

Simplifying the equation:

$y + 4 = -3(x + 1)$

Therefore, the correct equation is:

$y + 4 = -3(x + 1)$

Now, looking at the provided boxes in the image, the correct order of numbers, symbols, and variables to fill in is:

$y + 4 = -3(x + 1)$

Do you need more details or have any questions on this?

Here are some related questions you might find helpful:

1. How do you convert a point-slope equation to slope-intercept form?
2. Can you find the y-intercept from the point-slope form?
3. How do you calculate the slope if given two points?
4. What are other forms of a linear equation?
5. How would the equation change if the slope were positive instead of negative?

Tip: When using the point-slope form, always check that you are correctly substituting both the slope and the point coordinates in their appropriate places!