The slope of the given line y = 3x+6 is m = 3 Anything parallel to this will also have the same slope (of m = 3)
The given point is (-5,8), so this means (x1,y1) = (-5,8) further breaking down to x1 = -5 and y1 = 8
The three pieces of info we have are: m = 3, x1 = -5 and y1 = 8 Which are then plugged into the point-slope form below y-y1 = m(x-x1) y-8 = 3(x - (-5)) y-8 = 3(x+5) ... make sure to simplify as much as possible