To find the slope of the line given in point-slope form, let's examine the equation:
[tex]\[ y - 9 = \frac{1}{5}(x - 2) \][/tex]
The point-slope form of a line is given by:
[tex]\[ y - y_1 = m(x - x_1) \][/tex]
where [tex]\((x_1, y_1)\)[/tex] is a point on the line and [tex]\(m\)[/tex] is the slope.
From the given equation:
[tex]\[ y - 9 = \frac{1}{5}(x - 2) \][/tex]
we can see that [tex]\((x_1, y_1)\)[/tex] is [tex]\((2, 9)\)[/tex] and the slope [tex]\(m\)[/tex] is [tex]\(\frac{1}{5}\)[/tex].
Therefore, the slope of the line is:
[tex]\[ m = \frac{1}{5} \][/tex]
The correct answer is:
D. [tex]\(\frac{1}{5}\)[/tex]
