Question 502919: 2x + 3y = 2
2x + 3y = 3
Are these lines parallel, perpendicular, or neither.
I think they are neither but I cannot find anything close to this as example to even try to find the answer.
I tried to solve like this:
First equation
x = 0
2(0) + 3y = 2
3y = 2
y = 2/3
(0, 2/3)
y = 0
2x +3(0) = 2
2x = 2
x = 1
(1, 0)
Second Equation
x = 0
2(0) + 3y = 3
3y = 3
y = 3
(0,1)
y=0
2x + 3(0) = 3
2x = 3
x = 3/2
(3/2, 0)
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! 2x + 3y = 2
2x + 3y = 3
Are these lines parallel, perpendicular, or neither.
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Find and compare the 2 slopes.
Solve both for y:
2x + 3y = 2 --> y = (-2/3)x + 2/3
2x + 3y = 3 --> y = (-2/3)x + 1
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The slope is the coefficient of x, -2/3 for both.
The same slope means they're parallel.
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