SOLUTION: Write an equation of the line containing the given point and parallel to the given line. (3,5);x+3y=2 Thank you

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Question 283542: Write an equation of the line containing the given point and parallel to the given line. (3,5);x+3y=2
Thank you
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(3,5)
x+3y=2
3y=-x+2
y=-x/3+2/3 (red line)
This line has a slope=-1/3.
Any paeallel line will also have a slope=-1/3
5=5*-1/3+b
5=-5/3+b
b=5+5/3
b=(25+5/3)
b=30/3
b=10
Y=-X/3+10 (green line)
+graph%28+300%2C+200%2C+-6%2C+15%2C+-10%2C+12%2C+-x%2F3+%2B2%2F3%2C+-x%2F3+%2B10%29+ (graph 300x200 pixels, x from -6 to 15, y from -10 to 12, of TWO functions -x/3 +2/3 and -x/3 +10).