SOLUTION: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form of y=mx+b. (5,6);x+8y=5 The equation of the line is

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form of y=mx+b. (5,6);x+8y=5 The equation of the line is       Log On

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Question 160011: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form of y=mx+b.
(5,6);x+8y=5
The equation of the line is y= _____

Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
(5,6);x+8y=5
8Y=-X+5
Y=-X/8+5/8
6=-5/8+b
b=5+5/8
b=(5*8+5)/8
b=(40+5)/8
b=45/8 THE Y INTERCEPT.
Y=-X/8+45/8 (GREEN LINE)LINE EQUATION WITH SLOPE (m)=-1/8, PASSING THROUGH (5,6) & PARALLEL TO THE LINE Y=-X/8+5/8. (RED LINE).
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-x%2F8+%2B5%2F8+%2C+-x%2F8+%2B45%2F8%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x/8 +5/8 and -x/8 +45/8).