Podcast
Questions and Answers
What does the abscissa refer to in the Cartesian coordinate plane?
What does the abscissa refer to in the Cartesian coordinate plane?
Which of the following represents a linear equation in standard form?
Which of the following represents a linear equation in standard form?
Which of the following is a characteristic of a function?
Which of the following is a characteristic of a function?
What type of slope describes a line that rises from left to right?
What type of slope describes a line that rises from left to right?
Signup and view all the answers
Which of the following is not a valid representation of a relation?
Which of the following is not a valid representation of a relation?
Signup and view all the answers
Study Notes
Cartesian Coordinate Plane
- Descartes combined algebra and geometry.
- Ordered pairs (x, y) define points.
- X is the abscissa, Y is the ordinate.
- Standard linear equation form: ax + by = c, where a and b are not zero and exponents are one.
Linear Equations
- Solutions to linear equations in two variables can be represented as y = x + 2.
- A relation is a set of ordered pairs.
- Domain (x) is the set of all first coordinates.
- Range (y) is the set of all second coordinates.
Representing Relations
- Relations can be shown in three ways:
- Tables of values
- Mapping diagrams
- Graphs
Types of Relations
- One-to-one relation: Each domain value pairs with a unique range value.
- One-to-many relation: Domain values can repeat.
- Many-to-one relation: Range values can repeat.
Functions
- A function is a rule that pairs each domain element with exactly one range element.
- Domain values cannot repeat in a function.
Slopes of Lines
- Slope describes the direction of a line.
- Positive slope: Line goes up from left to right.
- Negative slope: Line goes down from left to right.
- Zero slope: Line is horizontal.
- Undefined slope: Line is vertical.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz covers the essential concepts of the Cartesian coordinate plane, linear equations, types of relations, and functions. Understand how to represent relations and calculate slopes of lines in algebra. Test your knowledge on ordered pairs and their significance in mathematical functions.
