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Question

Which equation represents a proportional relationship?
( y = x - 4 )
( y = 4x + 1 )
( y = 4x )
( y = x + 4 )

Summary

The image is a multiple-choice question asking which equation represents a proportional relationship. The four provided options are ( y = x - 4 ), ( y = 4x + 1 ), ( y = 4x ), and ( y = x + 4 ).

Answer 1

A proportional relationship is characterized by an equation of the form \( y = kx \), where \( k \) is a constant and there is no constant added or subtracted.

Among the given options:

1. \( y = x - 4 \) (not proportional)
2. \( y = 4x + 1 \) (not proportional)
3. \( y = 4x \) (proportional)
4. \( y = x + 4 \) (not proportional)

The equation that represents a proportional relationship is ( y = 4x ).