Question 446222
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Hi,
*[tex \LARGE\ Using \ the \ standard \ slope-intercept \ form \ for \ an \ equation \ of \ a  \ line \ y = mx + b ] 
*[tex \LARGE\ where \ m \ is \ the \ slope \ and \ b \ the \ y-intercept]
Passing through point (3,7)and parallel to the line with equation 5x+3y=12
parallel to the line with equation 
5x+3y=12  OR y = (-5/3)x + 4  m = (-5/3)
 Parallel  lines have identical slopes
New Line
 y = (-5/3)x + b  |Using ordered pair (3,7) to solve for b
 7 = (-5/3)*3 + b
12 = b
  y = (-5/3)x + 12   OR 5x +3y = 36