# 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. (2,9); x +3y = 4 The equation of the line is

Algebra ->  Algebra  -> Graphs -> 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. (2,9); x +3y = 4 The equation of the line is       Log On

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 Click here to see ALL problems on Graphs Question 553597: 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. (2,9); x +3y = 4 The equation of the line is y= _____ Simplfy your answer. Use intergers for any numbers in the expression.Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!1 x + 3 y = 4 Find the slope of this line make y the subject 3 y = -1 x + 4 Divide by 3 y = - 1/ 3 x + 4/3 Compare this equation with y=mx+b slope m = - 1/ 3 The slope of a line parallel to the above line will be the same The slope of the required line will be - 1/ 3 m= - 1/ 3 ,point ( 2 , 9 ) Find b by plugging the values of m & the point in y=mx+b 9 = - 2/ 3 + b b= 29/3 m= - 1/3 Plug value of the slope and b in y = mx +b The required equation isy = - 1/3 x + 29/3 m.ananth@hotmail.ca