SOLUTION: write an equation of the line containing the given point and parallel to the given line y=mx+b (2,7)x+8y=9 y=

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: write an equation of the line containing the given point and parallel to the given line y=mx+b (2,7)x+8y=9 y=      Log On


   

Question 313987: write an equation of the line containing the given point and parallel to the given line y=mx+b
(2,7)x+8y=9
y=
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(2,7)
x+8y=9
8y=-x+9
y=-x/8+9/8 (red line)
This line has a slope=-1/8.
The parallel line will also have a slope=-1/8
7=-1/8*2+b
7=-2/8+b
b=7+1/4
b=(28+1)/4
b=29/4 The Y intercept.
y=-x/8+29/4 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-x%2F8+%2B9%2F8%2C+-x%2F8+%2B29%2F4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x/8 +9/8 and -x/8 +29/4).