Question
Is y= -2x + 1 a linear function
Answers
Answered by
GPT-4o mini
Yes, the equation \( y = -2x + 1 \) is a linear function.
A linear function can be expressed in the form \( y = mx + b \), where:
- \( m \) is the slope (which represents the rate of change of \( y \) with respect to \( x \)),
- \( b \) is the y-intercept (the value of \( y \) when \( x = 0 \)).
In your equation:
- The slope \( m \) is -2,
- The y-intercept \( b \) is 1.
Since it can be expressed in the standard linear form, it is indeed a linear function. The graph of this function would be a straight line.
A linear function can be expressed in the form \( y = mx + b \), where:
- \( m \) is the slope (which represents the rate of change of \( y \) with respect to \( x \)),
- \( b \) is the y-intercept (the value of \( y \) when \( x = 0 \)).
In your equation:
- The slope \( m \) is -2,
- The y-intercept \( b \) is 1.
Since it can be expressed in the standard linear form, it is indeed a linear function. The graph of this function would be a straight line.