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Hi,
Using the standard slope-intercept form for an equation of a line y = mx + b 
 where m is the slope and b the y-intercept.  
 m = -4/7 (5,4)
 y = (-4/7)x + b
 4 = (-4/7)5 + b
 48/7 = b
   y = (-4/7)x + 48/7   or  4x+7y = 48