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Question 44659: Determine if the pair of lines are parallel.
-8x + 2y = 8
y = (1/4)x-3
I came up with (-2,-4) and (4,-2) or should I have solved seperately for x and y in each problem.
Answer by adamchapman(301)   (Show Source):
You can put this solution on YOUR website! Two lines are parralel if they have the same gradient. When the equation of a line is written in the form "y=mx+c", "m" represents the gradient.
The second equation is already in the form we want, and we can see that the gradient is 1/4.
Rearrange the first equation:
-8x + 2y = 8
2y = 8x + 8
y = 4x + 4.
The gradient of this line is 4.
1/4 is not the same as 4, so the two lines are not parallel.
I hope this helps.
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
Adam
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