SOLUTION: write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (4,5); x +9y= 2

Algebra ->  Functions -> SOLUTION: write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (4,5); x +9y= 2      Log On


   

Question 311565: write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b.
(4,5); x +9y= 2
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(4,5); x +9y= 2
9y=-x+2
y=-x/9+2/9 (red line)
This line has a slope(m)=-1/9
A parallel line will also have a slope=1/9
5=1/9*4+b
5=4/9+b
b=5-4/9
b=(5*9-4)/9
b=(45-4)/9
b=41/9 the y intercept.
y=-x/9+41/9 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-x%2F9+%2B2%2F9%2C+-x%2F9+%2B41%2F9%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x/9 +2/9 and -x/9 +41/9).