Answer:
[tex]y=\frac{1}{3}x+2[/tex]
Step-by-step explanation:
find the slope of the line using [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{3-2}{3-0}[/tex]
[tex]m=\frac{1}{3}[/tex]
slope intercept form is [tex]y-y_1=m(x-x_1)[/tex]
use one of the given points to substitute for [tex]x_1[/tex] and [tex]y_1[/tex].
[tex]y-2=\frac{1}{3}(x-0)[/tex]
simplify
[tex]y-2=\frac{1}{3} x[/tex]
add 2 to both sides
[tex]y=\frac{1}{3}x+2[/tex]
