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. (-7,9); 3x=8y+5. The equation of the line is y=?

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Question 410610: 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.
(-7,9); 3x=8y+5. The equation of the line is y=?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Line passing thru Pt(-7,9) and parallel to 3x=8y+5


3x=8y+5 OR y = (3/8)x - 5/8 |slope of these parallel lines is m = 3/8
New Line
y = (3/8)x + b |using ordered pair Pt(-7,9) to solve for b
9 = (3/8)*-7 + b
72/8 + 21/8 = b
93/8 = b
y = (3/8)x + 93/8 |y-intercept is Pt(0,93/8)

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