SOLUTION: Write an equation of the line contaiing the given point and parallel to the given line. Express your answer in the form y=mx+b. (3,8); x+4y=9. The equation of the line is y=_

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line contaiing the given point and parallel to the given line. Express your answer in the form y=mx+b. (3,8); x+4y=9. The equation of the line is y=_      Log On


   

Question 310085: Write an equation of the line contaiing the given point and parallel to the given line. Express your answer in the form y=mx+b. (3,8); x+4y=9. The equation of the line is y=_
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
y=mx+b.
(3,8);
x+4y=9
4y=-x+9
y=-x/4+9 (red line)
This line has a slope=-1/4.
A parallel line will also have a slope=-1/4
8=-1/4*3+b
8=-3/4+b
b=8+3/4
b=(32+3)/4
b=35/4 the Y intercept.
y=-x/4+35/4 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+12%2C+-x%2F4+%2B9%2C-x%2F4+%2B35%2F4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 12, of TWO functions -x/4 and +9,-x/4 +35/4).