Question

which equation represents a linear function

A)y=2x^2
B)y= -4x+5
C)y=x^3
D)y= -3x^2 + 2

Answer 1

A linear function is defined as a function that can be expressed in the form \(y = mx + b\), where \(m\) and \(b\) are constants, and the highest power of \(x\) is 1.

Let's evaluate the given options:

A) \(y = 2x^2\) - This is a quadratic function (highest power of \(x\) is 2).

B) \(y = -4x + 5\) - This is a linear function (highest power of \(x\) is 1).

C) \(y = x^3\) - This is a cubic function (highest power of \(x\) is 3).

D) \(y = -3x^2 + 2\) - This is a quadratic function (highest power of \(x\) is 2).

The equation that represents a linear function is **B) \(y = -4x + 5\)**.