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Questions and Answers
What is the general form of a linear equation in two variables?
What is the purpose of the slopeintercept form of a linear equation?
What is the standard form of a linear equation?
What is the purpose of the addition and subtraction properties in solving linear equations?
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What is the yintercept of a line in the slopeintercept form?
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What is the definition of a linear equation?
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Study Notes
Linear Equations
Definition
 A linear equation is an equation in which the highest power of the variable(s) is 1.
 General form: ax + by = c, where a, b, and c are constants, and x and y are variables.
Types of Linear Equations
 Simple Linear Equation: An equation with only one variable, e.g., 2x = 5.
 Linear Equation in Two Variables: An equation with two variables, e.g., 2x + 3y = 7.
SlopeIntercept Form

SlopeIntercept Form: y = mx + b, where:
 m is the slope (a measure of how steep the line is).
 b is the yintercept (the point where the line crosses the yaxis).
Standard Form

Standard Form: Ax + By = C, where:
 A, B, and C are integers.
 A is nonnegative.
 There are no fractions or decimals.
Graphing Linear Equations
 XIntercept: The point where the line crosses the xaxis.
 YIntercept: The point where the line crosses the yaxis.
 Slope: The steepness of the line, which can be positive, negative, or zero.
Solving Linear Equations
 Addition and Subtraction Properties: Add or subtract the same value to both sides of the equation to isolate the variable.
 Multiplication and Division Properties: Multiply or divide both sides of the equation by a nonzero value to isolate the variable.
Linear Equations
Definition
 Linear equations have the highest power of variables as 1.
 General form: ax + by = c, where a, b, and c are constants, and x and y are variables.
Types of Linear Equations
 Simple Linear Equation: one variable, e.g., 2x = 5.
 Linear Equation in Two Variables: two variables, e.g., 2x + 3y = 7.
SlopeIntercept Form
 SlopeIntercept Form: y = mx + b, where:
 m is the slope (steepness of the line).
 b is the yintercept (point where the line crosses the yaxis).
Standard Form
 Standard Form: Ax + By = C, where:
 A, B, and C are integers.
 A is nonnegative.
 No fractions or decimals.
Graphing Linear Equations
 XIntercept: point where the line crosses the xaxis.
 YIntercept: point where the line crosses the yaxis.
 Slope: steepness of the line (positive, negative, or zero).
Solving Linear Equations
 Addition and Subtraction Properties: add or subtract the same value to both sides to isolate the variable.
 Multiplication and Division Properties: multiply or divide both sides by a nonzero value to isolate the variable.
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Description
Learn about linear equations, their definition, types, and slopeintercept form. Understand the general form of linear equations and how to work with them.