To write the equation of the line in point-slope form using the point (9, -2) and a slope of -\(\frac{1}{8}\), you can use the point-slope formula:
\[ y - y_1 = m(x - x_1) \]
Where:
- \((x_1, y_1)\) is the point on the line,
- \(m\) is the slope.
Here, \((x_1, y_1) = (9, -2)\) and \(m = -\frac{1}{8}\). Plugging these values into the formula gives:
\[ y - (-2) = -\frac{1}{8}(x - 9) \]
This can be simplified to:
\[ y + 2 = -\frac{1}{8}(x - 9) \]
Thus, the equation of the line in point-slope form is:
\[ y + 2 = -\frac{1}{8}(x - 9) \]
If you want to write it in the format you provided:
\[ y - (-2) = -\frac{1}{8}(x - 9) \]
In relation to the structure you provided, we can write it as:
\[ y - (-2) = -\frac{1}{8}(x - 9) \]
This essentially means:
\[ y + 2 = -\frac{1}{8}(x - 9) \]
So, if you were looking for a specific way of writing it, the point-slope equation is correctly expressed.