Answer:
[tex]y-2= \frac{1}{3}(x-3)[/tex] is the point slope form
Step-by-step explanation:
the point-slope form of the line that passes through (3,2) and has a slope of 1/3
Slope of the line is [tex]\frac{1}{3}[/tex]
The line passes through the point (3,2)
To find equation of the line we use formula
[tex]y-y_1= m(x-x_1)[/tex]
m= 1/3 , x1= 3, x2=2 Plug in all the values in the formula
[tex]y-2= \frac{1}{3}(x-3)[/tex]
[tex]y-2= \frac{1}{3}x-1[/tex]
Now add 2 on both sides
[tex]y= \frac{1}{3}x+1[/tex] is the slope intercept form