Question 410012
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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]
1.what is the equation of line passes through points (4,-6) and has a slope of -3 
  y = -3x + b   |using ordered pair pt( 4,-6) to solve for b
 -6 = -12
 6 = b   | y = -3x+6  OR 3x+y = 6

2.what equation represent a line parallel to the graph of 2x-4y=16
 2x-4y=16  OR y = (1/2)x - 4   |these 'parallel' lines would have m = (1/2)
New Line
  y = (1/2)x + b  | b can be any real value for this line