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



 

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