Basics of Linear Functions Quiz

What is the most basic linear function?

• y = 3x

• y = mx + b

• y = x

• y = 2x

What does the variable 'm' represent in the equation y = mx?

• The slope

• The x-intercept

• The y-intercept

• The coefficient of x

What happens to the slope of the line as the value of 'm' increases?

• It remains the same

• It becomes less steep

• It becomes negative

• It becomes more steep

What is the slope of the line represented by the equation y = 1/2x?

• 1

• 1/2

• 3

• 2

What is the y-intercept of the line represented by the equation y = 1x + 2?

• 0

• 1

• -2

• 2

What does the variable 'b' represent in the equation y = mx + b?

• The coefficient of x

• The x-intercept

• The y-intercept

• The slope

What happens to the line when the value of 'b' is negative?

• It shifts up

• It shifts down

• It becomes shallower

• It becomes steeper

What is the slope-intercept form of a linear equation?

• y = mx

• y = mx + b

• y = x

• y = 2x

What type of variables can a linear equation contain?

• First order variables

• Fourth order variables

• Second order variables

• Third order variables

What is the final form of the equation x - 4 = 2(y - 3) when rearranged into y = mx + b form?

• y = 2x - 2

• y = 4x - 3

• y = 3x + 4

• y = 1/2x + 1