SOLUTION: Write an equation of the line containing the given point and parallel to the given line (-3,8); 6x=5y+8

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Question 285315: Write an equation of the line containing the given point and parallel to the given line
(-3,8); 6x=5y+8
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(-3,8)
6x=5y+8
5Y=6X-8
Y=6X/5-8/5 (RED LINE)
THIS LINE HAS A SLOPE=6/5
THE PARALLEL LINE WILL ALSIO HAVE A SLOPE=6/5.
8=6/5*-3+b
8=-18/5+b
b=8+18/5
b=(40+18)/5
b=58/5
Y=6X/5+58/5 (GREEN LINE)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+15%2C+6x%2F5+-8%2F5%2C+6x%2F5+%2B58%2F5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 15, of TWO functions 6x/5 -8/5 and 6x/5 +58/5).