SOLUTION: How to decide whether the pair of lines is parallel, perpendicular or neither 2x+3y=8 2x+3y=6

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Question 247260: How to decide whether the pair of lines is parallel, perpendicular or neither
2x+3y=8
2x+3y=6
Answer by blwinbbbles(106) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the same slope
Perpendicular lines have the inverse negative of each other..ie: if slope is
-2 on one line it would be 1/2 the perpendicular or if it was 2 on one line it would be -1/2 in the perpendicular
if you were to rearrange these equation to represent the linear equation, which is y=mx+b with m = slope
2x + 3y = 8 would be 3y = -2x + 8 would be y = -2/3(x) + 8/3
2X + 3Y = 6 would be 3y = -2x + 6 would be y = -2/3(x) + 2
therefore they have the same slope (m) and will be parallel lines.