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Question 353166: decide whether the pair of lines is parallel, perpendicular, or neither
5x+3y=8
5x+3y=6
I come up with they are parallel is that correct?
Answer by CharlesG2(834)   (Show Source):
You can put this solution on YOUR website! "decide whether the pair of lines is parallel, perpendicular, or neither
5x+3y=8
5x+3y=6
I come up with they are parallel is that correct?"
1st line:
5x + 3y = 8
solve for y
3y = -5x + 8
y = (-5/3)x + 8/3, this is y=mx+b form
2nd line:
5x + 3y = 6
solve for y
3y = -5x + 6
y = (-5/3)x + 6/3 = (-5/3)x + 2, this is y=mx+b form
the two lines have the same slope m which is -5/3
and the two lines have different b or y-intercepts (vertical-intercepts) being
8/3 and 2
the lines are parallel since same slope
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