Question 446228
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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 the point (2,8) and parallel to the line equation 3x+2y=13

parallel to the line equation 
3x+2y=13   OR y = (-3/2)x + 13/2   m = (-3/2)
Parallel  lines have identical slopes
New Line
 y = (-3/2)x + b  |Using ordered pair (2,8) to solve for b
 8 = (-3/2)*2 + b
 11 = b
  y =  (-3/2)x + 11  OR 3x+2y = 22