Question
hich equation represents a proportional relationship?
Question content area bottom
Part 1
A.
y = 5 - negative 2 x
B.
y = negative 2 x - 5
C.
y = negative 2 x
D.
y = negative 2 x + 5
Question content area bottom
Part 1
A.
y = 5 - negative 2 x
B.
y = negative 2 x - 5
C.
y = negative 2 x
D.
y = negative 2 x + 5
Answers
GPT-4o mini
A proportional relationship can be described by an equation of the form \( y = kx \), where \( k \) is a constant. This means that the equation must pass through the origin (0, 0) and have no constant term.
Looking at the options provided:
A. \( y = 5 - 2x \) (not proportional; has a constant term)
B. \( y = -2x - 5 \) (not proportional; has a constant term)
C. \( y = -2x \) (proportional; no constant term)
D. \( y = -2x + 5 \) (not proportional; has a constant term)
The correct answer is **C. \( y = -2x \)**, as it represents a proportional relationship.
Looking at the options provided:
A. \( y = 5 - 2x \) (not proportional; has a constant term)
B. \( y = -2x - 5 \) (not proportional; has a constant term)
C. \( y = -2x \) (proportional; no constant term)
D. \( y = -2x + 5 \) (not proportional; has a constant term)
The correct answer is **C. \( y = -2x \)**, as it represents a proportional relationship.