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Hi
the standard slope-intercept form for an equation of a line is y = mx + b  
where m is the slope and b the y-intercept.  
Solving for y to put lines ito the slope-intercept in order to read their slopes
3x+8=y   y = 3x + 8     slope m = 3
2y=6x-3  y = 3x - 3/2   slope m = 3
Lines have identical slopes, therefore, are parallel
