# 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 Help me please. (-9,2);6x=7y+5

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> 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 Help me please. (-9,2);6x=7y+5      Log On

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 Question 135724: 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 Help me please. (-9,2);6x=7y+5Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!(-9,2) 6x=7y+5 OR 7Y=6X-5 OR Y=6X/7-5/7 (RED LINE) THIS LINE HAS A SLOPE OF 6/7 THUS ANY PARALLEL LINE ALSO HAS A SLOPE OF 6/7. NOW REPLACE THE X & Y TERMS WITH THE POINT VALUES GIVEMN & SOLVE FOR THE Y INTERCEPT (b) 2=6/7*-9+b 2=-54/7+B b=2+54/7 b=(2*7+54)/7 b=(14+54)/7 b=68/7 FOR THE Y INTERCEPT. THUS WE HAVE THE EQUATION: Y=6X/7+68/7 (GREEN LINE) FOR THIS PARALLEL LINE THROUGH (-9,2). (graph 300x200 pixels, x from -16 to 5, y from -10 to 10, of TWO functions 6x/7 -5/7 and 6x/7 +68/7).