Identifying Characteristics of a Linear Equation

Identifying Characteristics of a Linear Equation

December 1, 2020

LINEAR EQUATION

A linear equation is an equation for a straight line

So basically a linear equation forms a straight line ONLY

LINEAR EQUATION

NONLINEAR EQUATION

Multiple Choice

• A

• B

• C

• D

Poll

Is the following equation a linear equation or nonlinear equation?

 $y\ =\ x^2\ +\ 5$  

• Linear (yes)

• Nonlinear (no)

Poll

Is the following equation a linear equation or nonlinear equation?

 $y\ =\ -x\ +7$  

• Linear (yes)

• Nonlinear (no)

Poll

Is the following equation a linear equation or nonlinear equation?

 $y\ =\ \sqrt{x^2}$  

• Linear (yes)

• Nonlinear (no)

Multiple Choice

Is this equation linear?
 $y=-4x+2$  

• Linear

• Not Linear

Multiple Choice

Is this equation linear?
 $y=5x^2+3x-6$  

• Linear

• Not Linear

Multiple Choice

Is this equation linear?
 $y=-2$  

• Linear

• Not Linear

Multiple Choice

Is this equation linear?
 $y=x\left(x+5\right)$  

• Linear

• Not Linear

Multiple Choice

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

• Linear

• Not Linear

Multiple Choice

Is this equation linear?
 $x^3-y^3=64$  

• Linear

• Not Linear

Multiple Choice

Is this equation linear?

 $x=3$  

• Linear 

• Not linear