Respuesta :

Answer:

A. y=1/3x+2

Step-by-step explanation:

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

Slope:  

1 /3

y-intercept:  

( 0 , 2 )

Answer:

A

Step-by-step explanation:

Slope is change in y over change in x. Using the two points:

[tex]\frac{3-2}{3-0}[/tex]

The slope is 1/3. This rules out B and D.

Let's put what we know into y = mx+b form.

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

Use any of the two points and substitute into the equation, I will use (3,3):

[tex]3=\frac{1}{3}\left(3\right)+b[/tex]

[tex]1+b=3[/tex]

b = 2.

Plug back into equation to get:

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

Which is A.