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The lines 3x + by = 7 and bx + 2y = 9 are parallel to each other. What is b
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The lines 3x + by = 7 and bx + 2y = 9 are parallel to each other. Lines that are parallel to each other have the same slope. Determine the slope of the lines given.
3x + by = 7
=> y = -3x/b + 7/b
The slope of this line is -3/b.
bx + 2y = 9
=> y = (-b/2)x + 9/2
The slope of this line is -b/2
Equating -b/2 and -3/b and solving for b
-b/2 = -3/b
=> b^2 = 6
=> b = `+-sqrt 6`
The value of b is `+-sqrt 6`
Posted by justaguide on September 19, 2013 at 6:31 PM (Answer #1)
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