Algebra / Linear Equations Two Variables
Linear Equations in Two Variables
Parameter questions for linear equations in two variables often use a given point, intercept, or slope condition to determine a missing coefficient.
Least you need to know
- A point lies on a line if substituting its coordinates makes the equation true.
- At the x-intercept, y is 0.
Key notation
- $(x,y)$ — An ordered pair that may satisfy a linear equation
Worked example
- Substitute the given coordinate condition into the equation.
- Solve the resulting equation for the parameter.
Common mistakes
- Use the ordered pair in the correct coordinate order.
How to recognize it
- The equation contains an unknown coefficient and a point or intercept condition.
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