Respuesta :

Answer:

y=1/3x+2

Step-by-step explanation:

Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2

The equation of the line in slope intercept form is

[tex]y= \frac{1}{3} x+2[/tex]

Given :

A line passes through (0, 2) and has a slope of 1/3

The equation of a line in slope intercept form is y=mx+b

where m is the slope and b is the y intercept

From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]

The line passes through (0,2) that is our y intercept b

b= 2

Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b

[tex]y= \frac{1}{3} x+2[/tex]

The equation of the line in slope intercept form is

[tex]y= \frac{1}{3} x+2[/tex]

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