Hi,        

Using the standard slope-intercept form for an equation of a line y = mx + b 

 where m is the slope and b the y-intercept

Line parallel to 6x-3y = 9  OR y = 2x - 3 (blue line)   slope m = 2

parallel line have identical slopes.  thus new line:

y = 2x + b  using ordered pair pt(-4,8) to solve for b

8 = 2*(-4) + b

 16 = b

y = 2x + 16  Green line



 

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