5 Questions
Which of the following is an example of a linear equation in one variable?
$x + 1 = 0$
What is the general form of a linear equation in two variables?
$ax + by + c = 0$
What does a linear equation in two variables represent on the Cartesian plane?
A line
If a linear equation in two variables has a unique solution, how many solutions does it have?
Exactly one solution
What is the key characteristic of a linear equation in two variables?
It has a constant slope
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.
Test your knowledge of linear equations in two variables with this quiz. Explore concepts such as writing linear equations, solving for variables, and understanding the graphical representation of linear equations. Perfect for students studying algebra and linear equations.
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