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which equation represents a linear function? equation 1: y = 2x2 1 equation 2: y2 = 3x 1 equation 3: y = 5x – 1 equation 4: y = 4x4 – 1 (5 points) equation 1 equation 2 equation 3 equation 4

2 Answers

3 votes

Answer:

Option -3 Equation 3 -
y=5x-1

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.

User Harsh Kasodariya
by
8.6k points
4 votes
The correct result would be equation 3: y = 5x - 1, because a linear function is a polynomial of degree one or zero. Therefore, equations 1, 2, and 4 can't be represented as a linear function, because they have the degree of 2 or more.
User Lukas Gentele
by
8.1k points