6.1 Linear and Non-Linear Relations

Chapter 6 Linear Law

6.1 Linear and Non-Linear Relations

Linear and non-linear relationships

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Linear Functions...

are straight lines on a graph

Multiple Select

Which of these functions are linear?

Select two answers.

• $y\ =\ 3\ -\ x^2$

• $y=x$

• $y\ =\ x^3\ +\ 3$

Multiple Choice

Is this equation linear?
 $4x-5y+20=0$  

• Linear

• Not Linear

Multiple Choice

Is this equation linear?
 $y=\sqrt{x}+6$  

• Linear

• Not Linear

Multiple Choice

Is this equation linear?
 $y=-4x+2$  

• Linear

• Not Linear

Multiple Choice

Is this equation linear?
 $x=7-xy$  

• Linear

• Not Linear

How to convert non-linear equation to linear form?

Please also try to answer this question.

Multiple Choice

What is the linear form of the non-linear equation below,
 $y\ =\ ax\ -bx^2$  

•  $\frac{y}{x^2}\ =\ a\left(\frac{1}{x}\right)\ +\ b$  

•  $\frac{y}{x}=\ a\ +\ bx$  

Multiple Select

 $xy\ =\ \frac{p}{x}+qx$  

Reduce the non-linear equation to linear form.

•  $y=px\ +\ q$  

•  $y=\ p\left(\frac{1}{x^2}\right)\ +\ q$