Exploring Vocabulary for Linear Functions

The video tutorial covers vocabulary and concepts related to linear functions, including their graphical representation as straight lines, the constant rate of change, and different equation forms like slope-intercept and standard form. It explains independent and dependent variables, and provides examples of linear equations. Key concepts such as slope, rate of change, initial value, and y-intercept are defined. The tutorial includes practical examples to calculate slope and y-intercept, reinforcing the understanding of these concepts.

What is the graphical representation of a linear function?

• A curved line

• A straight line

• A series of points

• A parabola

What is the form of a linear equation known as y = mx + b called?

• Standard form

• Slope-intercept form

• Variable form

• Intercept form

In a linear function, what does the independent variable's exponent typically equal?

• 0

• 1

• 3

• 2

What does the 'm' in the slope-intercept form of a linear equation represent?

• Y-intercept

• Dependent variable

• Rate of change

• Independent variable

If the independent variable increases by 1, how does the dependent variable change in the example given?

• Decreases by 0.5

• Decreases by 2

• Increases by 2

• Increases by 0.5

How do you convert a standard form equation into slope-intercept form?

• Subtract the x term from both sides

• Multiply each term by the coefficient of y

• Divide each term by the coefficient of y

• Add the x term to both sides

What is the slope if you travel from a lower point to a higher point on a graph?

• Zero

• Undefined

• Negative

• Positive

What is the initial value in a linear equation?

• The coefficient of x

• The slope

• The y-intercept

• The constant term

What does the rate of change in a linear function indicate?

• The variable dependency

• The curvature of the graph

• The steepness of the line

• The x-intercept

What is the y-intercept of the line described in the second example?

• 4

• 2

• 3

• 1