SOLUTION: write the slope intercept form for an equation of the line parallel to the graph of the given equation and passing through the given point? 3x+9y=

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Question 71083This question is from textbook
: write the slope intercept form for an equation of the line parallel to the graph of the given equation and passing through the given point?
3x+9y=1, (3,0)This question is from textbook

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
3x+9y=1
9y=-3x+1
y=-3x/9+1/9
y=-x/3+1/9 this line has a slope of -1/3.
so a parrallel line through (3,0) has the same slope .
now we substitute the (3,0) values for the x & y values in the line formula & solve for the y intercept(b)
0=-1/3*3+b
0=-1+b
b=1 so this line equation is
y=-x/3+1
the graph of these two lines is:
+graph%28+300%2C+300%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-x%2F3%2B1%2F9%2C+y+=+-x%2F3+%2B1%29+ (graph 300x300 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x/3+1/9 and y = -x/3 +1).