[2021] - Linear Equations
Move terms across the equals sign by performing the opposite operation (addition/subtraction). Solve: Multiply or divide to get the variable by itself.
represents the (where the line crosses the vertical axis). 2. Standard Form Formula: In this form,
A linear equation is an algebraic equation where each term is either a constant or the product of a constant and a single variable. The most defining characteristic is that the variables are always to the first power. You won't find exponents like x2x squared A symbol (usually ) representing an unknown number. Coefficient: The number multiplying the variable (the Constant: A fixed value that does not change. Standard Forms of Linear Equations linear equations
Linear equations aren't just for textbooks. They help us make sense of the world:
There are three primary ways to write a linear equation. Each serves a specific purpose depending on whether you are graphing, calculating slope, or identifying intercepts. 1. Slope-Intercept Form This is the most popular form for graphing. represents the slope (the steepness of the line). Move terms across the equals sign by performing
When you plot a linear equation on a Coordinate Plane, it will always result in a straight line. The line goes up from left to right. Negative Slope: The line goes down from left to right. Zero Slope: A perfectly horizontal line ( Undefined Slope: A perfectly vertical line ( If you're working on a specific problem, let me know: Are you solving for ? Do you need help graphing a specific line ?
Clear parentheses using the distributive property. Combine Like Terms: Group all terms together and all constants together. You won't find exponents like x2x squared A
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