step 1
From the graph take two points
(0,2) and (3,0)
step 2
Find out the slope
[tex]\begin{gathered} m=\frac{0-2}{3-0} \\ \\ m=-\frac{2}{3} \end{gathered}[/tex]
step 3
Find out the equation of the line in slope-intercept form
[tex]y=mx+b[/tex]
we have
m=-2/3
b=2
substitute
therefore
[tex]y=-\frac{2}{3}x+2[/tex]
