Podcast
Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App
Questions and Answers
Which of the following is an example of a linear equation in one variable?
Which of the following is an example of a linear equation in one variable?
- $x^2 + 2x - 3 = 0$
- $x + 1 = 0$ (correct)
- $3x^3 - 4x^2 + 5x - 6 = 0$
- $2x^2 - 3x + 1 = 0$
What is the general form of a linear equation in two variables?
What is the general form of a linear equation in two variables?
- $ax + by + c = 0$ (correct)
- $ax^2 + by^2 = c$
- $xy = 1$
- $x + y = 0$
What does a linear equation in two variables represent on the Cartesian plane?
What does a linear equation in two variables represent on the Cartesian plane?
- A parabola
- A circle
- A point
- A line (correct)
If a linear equation in two variables has a unique solution, how many solutions does it have?
If a linear equation in two variables has a unique solution, how many solutions does it have?
Signup and view all the answers
What is the key characteristic of a linear equation in two variables?
What is the key characteristic of a linear equation in two variables?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Linear Equations in One Variable
- An example of a linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.
Linear Equations in Two Variables
- The general form of a linear equation in two variables is ax + by = c, where a, b, and c are constants and x and y are variables.
- A linear equation in two variables represents a straight line on the Cartesian plane.
- If a linear equation in two variables has a unique solution, it has exactly one solution, meaning it has a single point of intersection on the Cartesian plane.
- The key characteristic of a linear equation in two variables is that it can be graphed as a straight line on the Cartesian plane.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
