Algebra / Linear Equations Two Variables
Linear Equations in Two Variables
A linear equation in two variables can be written in forms such as $ax+by=c$ or $y=mx+b$. A solution is an ordered pair $(x,y)$ that makes the equation true.
Least you need to know
- An ordered pair is a solution if substituting its coordinates makes the equation true.
- The $x$-intercept occurs when $y=0$; the $y$-intercept occurs when $x=0$.
Key notation
- $(x,y)$ — An ordered pair whose first coordinate is $x$ and second coordinate is $y$
Worked example
- Substitute the known coordinate into the equation.
- Solve for the missing coordinate.
Common mistakes
- In $(x,y)$, the first coordinate is $x$.
- For the $x$-intercept, set $y=0$.
How to recognize it
- The equation contains two variables.
- The problem may ask for an intercept or missing coordinate.
Prochaine leçon recommandée
Continuez ce thème avec Linear Equations in Two Variables.
Linear Equations in Two VariablesLeçons liées
Continuez avec des leçons proches dans le même thème.