The problem asks for the equation of a line in point-slope form given the point $(-3, -4)$ and the slope $m = -\frac{5}{4}$.

The point-slope form of a line is written as: $y - y_1 = m(x - x_1)$ where $(x_1, y_1)$ is a point on the line and $m$ is the slope.

Here, the point $(-3, -4)$ means $x_1 = -3$ and $y_1 = -4$, and the slope $m = -\frac{5}{4}$.

Substituting these values into the point-slope form: $y - (-4) = -\frac{5}{4}(x - (-3))$

This simplifies to: $y + 4 = -\frac{5}{4}(x + 3)$

Thus, the equation in point-slope form is: $y + 4 = -\frac{5}{4}(x + 3)$

Would you like further details or have any questions?

Related questions:

1. How do you convert from point-slope form to slope-intercept form?
2. What is the significance of the slope in a linear equation?
3. How can you verify the correctness of a linear equation using two points?
4. Can you graph the line given the point-slope equation?
5. How do different forms of linear equations (like point-slope, slope-intercept, and standard form) compare?

Tip: Always simplify the expression inside parentheses first when using the point-slope formula.