Answer:
Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.
Step-by-step explanation:
The equation of a line with given point(x1,y1) and slope m is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
The line passes through (x1,y1)
Given
[tex](x_1,y_1) = (3,2)\\m = \frac{1}{3}[/tex]
=> x1 = 3
=> y1 = 2
Putting the values of x1, y1 and slope(m) in the point-slope form, the equation of line is:
[tex]y - 2 = \frac{1}{3}(x-3)[/tex]
Hence,
Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.
