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A parallel line has the same gradient but different intercept.
y = 3x
y = 3x + 1
y = 3x - 1
etc
are all parallel to y = 3x - 2.
If you have a specific point (xo, yo) that the line that is parallel to y = 3x - 2 must pass through, you can use:
y - yo = m(x - xo)
with m = 3 for y = 3x - 2 and which would re-arrange to:
y = 3x -3xo + yo
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