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Lilit [14]
3 years ago
8

Determine whether each equation below is linear or nonlinear.

Mathematics
1 answer:
Kruka [31]3 years ago
6 0

Answer:

A) y=\frac{1}{2}x+3 - Linear

B) y=4x+2 - Linear      

C) xy=12 - Nonlinear

Step-by-step explanation:

To determine whether a function is linear or nonlinear.

The function of a straight line is given as :

y=mx+b

where m represents slope of line and b represents the y-intercept.

Any function that can be represented as a function of straight line is called a linear function otherwise it is nonlinear.

We will check the equations given for linear or nonlinear.

A) y=\frac{1}{2}x+3

The function is in the form y=mx+b and hence it is a linear function with slope m=\frac{1}{2} and y-intercept b=3.

B) y=4x+2

The function is in the form y=mx+b and hence it is a linear function with slope m=4 and y-intercept b=2.

C) xy=12

On solving for y

Dividing both sides by  x

\frac{xy}{x}=\frac{12}{x}

y=\frac{12}{x}

This function cannot be represented in the form y=mx+b, hence it is a nonlinear function.

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