y-x is an expression, not an equation. Therefore, the question does not make sense.
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If you mean: y = x+4 then the perpendicular equation can be y = -0.5x+4
Without an equality sign the given expression is not an equation
y=x^3
If you mean y = x+2 then the equation of y = x+4 is parallel to it because they both have the same slope but with different y intercepts
If you mean y = x+5 and x is -1 then y = 4