To write the equation of a line in point-slope form, you can use the formula:
\[ y - y_1 = m(x - x_1) \]
where \((x_1, y_1)\) is the given point and \(m\) is the slope.
For the point \((9, -1)\) and slope \(m = \frac{4}{3}\):
- \(x_1 = 9\)
- \(y_1 = -1\)
- \(m = \frac{4}{3}\)
Plugging these values into the point-slope form equation:
\[ y - (-1) = \frac{4}{3}(x - 9) \]
This simplifies to:
\[ y + 1 = \frac{4}{3}(x - 9) \]
Thus, the equation in point-slope form is:
\[ y + 1 = \frac{4}{3}(x - 9) \]