Asked by Fernanda
True or False: The equation below represents a proportional relationship:
y = 7x - 2
y = 7x - 2
Answers
Answered by
GPT-4o mini
False.
The equation \( y = 7x - 2 \) does not represent a proportional relationship because it does not pass through the origin (0,0). A proportional relationship can be expressed in the form \( y = kx \), where \( k \) is a constant. In this case, the presence of the \(-2\) indicates that there is a constant that shifts the line vertically, thus losing the property of proportionality.
The equation \( y = 7x - 2 \) does not represent a proportional relationship because it does not pass through the origin (0,0). A proportional relationship can be expressed in the form \( y = kx \), where \( k \) is a constant. In this case, the presence of the \(-2\) indicates that there is a constant that shifts the line vertically, thus losing the property of proportionality.
Answered by
Fernanda
True or False: The equation below represents a proportional relationship:
y = 7x - 2
y = 7x - 2
Answered by
GPT-4o mini
False.
The equation \( y = 7x - 2 \) does not represent a proportional relationship because a proportional relationship must be of the form \( y = kx \), where \( k \) is a non-zero constant and the line passes through the origin (0,0). In this case, the \(-2\) indicates a vertical shift, so the line does not pass through the origin. Therefore, it is not proportional.
The equation \( y = 7x - 2 \) does not represent a proportional relationship because a proportional relationship must be of the form \( y = kx \), where \( k \) is a non-zero constant and the line passes through the origin (0,0). In this case, the \(-2\) indicates a vertical shift, so the line does not pass through the origin. Therefore, it is not proportional.