Respuesta :

Point slope form is 
(y - y1) = m(x-x1)

m is a slope, m=1/3.
x1 = 3,
y1 = 2

(y-2) = (1/3)(x-3)

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

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