To find the equation of the line in point-slope form, we first need to calculate the slope of the line that passes through the points \((9,8)\) and \((4,9)\).
The formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substituting in our points \((x_1, y_1) = (9, 8)\) and \((x_2, y_2) = (4, 9)\):
\[ m = \frac{9 - 8}{4 - 9} = \frac{1}{-5} = -\frac{1}{5} \]
Now that we have the slope \(m = -\frac{1}{5}\), we can use the point-slope form of the equation of a line, which is given by:
\[ y - y_1 = m(x - x_1) \]
We can choose either of the two points. Let's choose \((9, 8)\):
\[ y - 8 = -\frac{1}{5}(x - 9) \]
Thus, the equation of the line in point-slope form is:
\[ y - 8 = -\frac{1}{5}(x - 9) \]
This is the required equation in point-slope form.