Answer: y-8 = 3(x+5)
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Step-by-step explanation:
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