Right any equation in slope intercept for the line that passes through (0,-2) And is parallel to the line whose equation is 3x+5y=3

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