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 Through (-2, -2) parallel to 2y-x=7

Sagot :

luana
[tex]2y-x=7\\2y=x+7\\y=\frac{1}{2}x+3,5\\\\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,-2)\\\\-2=\frac{1}{2}*-2+b\\\\-2=-1+b\\\\-2+1=b\\\\b=-1\\\\Equation\ of\ line\ y=\frac{1}{2}x-1 [/tex]