Given Y-X = 1, Y will always be 1 greater than X.
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Without an equality sign the given expression is not an equation
y=x^3
If you mean y = x+5 and x is -1 then y = 4
If you mean: y = x+4 then the perpendicular equation can be y = -0.5x+4
Without a second independent equation, it's not a 'system' yet.