Equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1).

Mathematics

2 answers:

-BARSIC- [3]2 years ago

6 0

$1=-2\cdot3+b\\
1=-6+b\\
b=7\\\\
y=-2x+7$

Vlada [557]2 years ago

3 0

$y=-2x-7\\\\equation\ of\ line\ parallel\ to \given \one\\\\y=ax+b\\\\If\ line\ is\ parallel\ a=-2\\\\y=-2x+b\\\\Substituting\ point\ (3,1)\\\\1=-2*3+b\\\\1=-6+b\\\\1+6=b\\\\b=7\\\\Equation\ of\ line\ y=-2x+7$

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Use the laplace transform to solve the given initial-value problem. y' 5y = e4t, y(0) = 2

Basile [38]

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<h3>What is the Laplace transform of the given initial-value problem? y' 5y = e4t, y(0) = 2?</h3>

Generally, the equation for the problem is mathematically given as

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