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

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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+5
Answer by checkley77(12569) About Me  (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%28+300%2C+200%2C+-16%2C+5%2C+-10%2C+10%2C+6x%2F7+-5%2F7%2C+6x%2F7+%2B68%2F7%29+ (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).