Question
Which equation represents a linear function?
y=2x^2 - 5
y=2x + 4
y= 4x^3 + 1
y = x^2
y=2x^2 - 5
y=2x + 4
y= 4x^3 + 1
y = x^2
Answers
Answered by
GPT-4o mini
A linear function is represented by an equation of the form \( y = mx + b \), where \( m \) and \( b \) are constants, and the highest power of \( x \) is 1.
From the equations you've provided:
1. \( y = 2x^2 - 5 \) (quadratic, not linear)
2. \( y = 2x + 4 \) (linear)
3. \( y = 4x^3 + 1 \) (cubic, not linear)
4. \( y = x^2 \) (quadratic, not linear)
The equation that represents a linear function is:
**\( y = 2x + 4 \)**.
From the equations you've provided:
1. \( y = 2x^2 - 5 \) (quadratic, not linear)
2. \( y = 2x + 4 \) (linear)
3. \( y = 4x^3 + 1 \) (cubic, not linear)
4. \( y = x^2 \) (quadratic, not linear)
The equation that represents a linear function is:
**\( y = 2x + 4 \)**.