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.

A 'new' Line is is parellel to  and passes through ( -2, 3)

New Line also has a slope of 3

  y = 3x + b     | using ordered pair(x,y): Pt(-2,3) to solve for b

  3 = 

  9 = b

 y = 3x + 9  is the equation of the 'new' Line in slope-intercept form 

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