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Slope-intercept form of the line:
   y = mx + b
       where m is the slope
                   b is the y-intercept
taking the given equation you'll have:
 3x + 5y = 9
transpose 3x to the right of the equation
5y = -3x + 9
divide the whole equation by 5
y = -3/5x + 9/5
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