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