Question
is this equation linear y = 7 x 4x
Answers
GPT-4o mini
The equation you've given, \( y = 7x + 4x \), can be simplified. First, combine like terms:
\[
y = (7 + 4)x = 11x
\]
This equation, \( y = 11x \), is indeed a linear equation because it can be expressed in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept (in this case, \( b = 0 \)).
If, however, you meant to write \( y = 7x^4 \) instead of \( y = 7x + 4x \), then that equation is not linear. The presence of the \( x^4 \) term indicates that it is a polynomial of degree 4, which is nonlinear.
To clarify:
- \( y = 11x \) is a linear equation.
- \( y = 7x^4 \) is a nonlinear equation.
Please confirm which equation you intended to ask about!
\[
y = (7 + 4)x = 11x
\]
This equation, \( y = 11x \), is indeed a linear equation because it can be expressed in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept (in this case, \( b = 0 \)).
If, however, you meant to write \( y = 7x^4 \) instead of \( y = 7x + 4x \), then that equation is not linear. The presence of the \( x^4 \) term indicates that it is a polynomial of degree 4, which is nonlinear.
To clarify:
- \( y = 11x \) is a linear equation.
- \( y = 7x^4 \) is a nonlinear equation.
Please confirm which equation you intended to ask about!