its 2y+6x=-3 // y+3x=9 ok first rule to finding its parallel partner is that it has to have same slope!! so in ur given equation ur slope was -3 if you put it in slope-intercept form which is y=mx+b y= y-coordinate m= slope x= x-coordinate b= y-intercept
y=-3x+9 so figure out the slopes of the options. 2y+6x=-3 gives you 2y=-6x-3 y=-6x/2-3/2 y=-3x-3/2 it doesn't matter what the b or the y-intercept is.