SOLUTION: I need help with the question: Find the equation of the line parallel to 2x+4y=9 and passing through the point(6,-2). I tried to use y=mx+b, but I still can not figure it out.

Algebra ->  Linear-equations -> SOLUTION: I need help with the question: Find the equation of the line parallel to 2x+4y=9 and passing through the point(6,-2). I tried to use y=mx+b, but I still can not figure it out.      Log On


   

Question 108411: I need help with the question:
Find the equation of the line parallel to 2x+4y=9 and passing through the point(6,-2).
I tried to use y=mx+b, but I still can not figure it out.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2x+4y=9
4y=-2x+9
y=-2x/4+9/4
y=-x/2+2.5 this line has a slope of -1/2 (red line)
any parallel line also has a slope of -1/2
-2=-1/2*6+b
-2=-3+b
b=-2+3
b=1 the y intercept of this line.
y=-x/2+1 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-x%2F2+%2B2.5%2C+y+=+-x%2F2+%2B1%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x/2 +2.5 and y = -x/2 +1).