SOLUTION: Determine whether the graphs of each pair of lines are parallel. 3x+8=y 2y=6x-3 Are the graphs of the given equation parallel? Thank you!

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Question 389226: Determine whether the graphs of each pair of lines are parallel.
3x+8=y
2y=6x-3
Are the graphs of the given equation parallel?
Thank you!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: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.  

3x+8=y  OR y = 3x + 8   slope m = 3     PTs (0,8), (-8/3,0) ,(-2,2)

2y=6x-3 OR y = 3x -3/2  slope m = 3     PTs (0,-3/2), (1/2,0), (1,3/2))

Lines have identical slopes, therefore are parallel

Graphing