Questions and Answers
What is Direct Variation?
What is Inverse Variation?
What is an equation or function that represents a straight line?
Linear
A non-linear function forms a straight line.
Signup and view all the answers
What is represented by the slope of a line?
Signup and view all the answers
Study Notes
Direct Variation
- Represents a relationship where one variable is a constant multiple of another.
- Changes in one variable result in proportional changes in the other variable.
Inverse Variation
- Defined as the opposite of direct variation.
- When one variable increases, the other decreases proportionally.
- The product of the two variables remains constant despite their individual changes.
Linear
- Describes an equation or function that produces a straight line on a graph.
- Formulated as ( y = mx + b ), where ( m ) indicates the slope and ( b ) is the y-intercept.
Non-linear
- Refers to equations or functions that do not create a straight line.
- Includes curves and other shapes, indicating varying rates of change.
Rate of Change
- Quantified by the slope of a line in a linear graph.
- Represents how one quantity changes in relation to another variable.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz explores the concepts of direct and inverse variation, as well as linear and non-linear functions. It delves into the relationships between variables and their graphical representations, including the rate of change. Test your understanding of these fundamental mathematical principles!
