Input in standard form the equation of the given line. The line that passes through (-2, 4) and is parallel to x - 2y = 6

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18-11-2014
Mathematics

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Input in standard form the equation of the given line. The line that passes through (-2, 4) and is parallel to x - 2y = 6

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luana luana · Answer 1 · 2014-11-18T14:28:02-05:00

luana luana

18-11-2014

[tex]x-2y=6\\ -2y=-x+6\\ y=\frac{1}{2}x-3\\\\equation\ of\ line\ parallel\ to \given \one \\\\y=ax+b\\\\ If\ line\ is\ parallel\ a=\frac{1}{2}\\\\y=\frac{1}{2}x+b\\\\ Substituting\ point\ (-2,4)\\\\ 4=-2*\frac{1}{2}+b\\4=-1+b\\b=5\\\\ Equation\ of\ line\ y=\frac{1}{2}x+5\\\\ Standard form:\\ -\frac{1}{2}x+y=5[/tex]

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