It seems like you're working on a problem involving the equation of a line in point-slope form. The task is asking for the equation of a line that passes through the point $(-8, 4)$ and has a slope of $-\frac{1}{2}$.

To find the equation, you can use the point-slope form of a line equation:

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

Where:

• $m$ is the slope,
• $(x_1, y_1)$ is a point on the line.

Given the slope $m = -\frac{1}{2}$ and the point $(-8, 4)$, substitute these values into the point-slope form:

$y - 4 = -\frac{1}{2}(x + 8)$

This is the equation of the line in point-slope form.

Would you like to simplify this or solve for $y$? Let me know if you need further details!

Here are some related questions to further explore this topic:

1. How do you convert a point-slope form equation into slope-intercept form?
2. What happens to the equation of the line if the slope changes to $\frac{2}{3}$?
3. How do you graph the equation of a line given a point and slope?
4. How can you find the slope of a line from two points on the line?
5. What is the relationship between the slope of a line and its steepness?

Tip: Always make sure to double-check the values you substitute into the formula to ensure accuracy.