slope-intercept form: Y-Y1=m(X-X1) where m= slope
First find m: since the unknown equation is parallel to 3x=5y+3, set the later equation to y= form to find the slope ->
3x-3=5y+3-3
(3x-3)/5=5y/5
y= 3/5x-3/5
so m=3/5
Then plug in the coordinates (0,2) into the slope-intercept form and use your m, and you're done :D
Y-2= 3/5(x-0)
and you can simplify that into a y= form:
y=3/5x+2