Answer:
Option -3 Equation 3 - \(y=5x-1\)
Step-by-step explanation:
Given : Equation 1 - \(y=2x^2+1\)
Equation 2 - \(y^2=3x+1\)
Equation 3 - \(y=5x-1\)
Equation 4 - \(y=4x^4-1\)
To find : Which equation represents a linear function?
Solution :
A linear function - It is in the form \(y = f(x) = a + bx\).
A linear function has one independent variable and one dependent variable.
A linear function is a polynomial of degree one or zero.
From the following equation only equation 3 is a linear function,because it has one independent variable -1 and one dependent variable y on x and a polynomial of degree 1.
Therefore, Equation 3 - \(y=5x-1\) is a linear function.
