INDEX
Numbers and Sets
Complex Numbers
Exponentiation
Algebraic Transformations
Functions
Discrete Algebra
Basic Formulas
Graphics of Basic Functions
Algebraic Equations and Inequalities
Ship

Basic Conceptions

Properties of Equations and Inequalities

Graphical Interpretation of Solutions

Linear Equations and Inequalities

Linear Equations

Linear Inequalities

Linear Equations and Inequalities Involving Absolute Values

Linear Equations Involving Absolute Value

Linear Equations Involving a Few Absolute Values

Linear Inequalities Involving Absolute Value

Quadratic Equations and Inequalities

Quadratic Equations
Quadratic Equations and Quadratic Functions

Extreme Value of Quadratic Function

Quadratic Formula

Solving Quadratic Equations by Factoring

Quadratic Inequalities


Linear Equations
Key Topics Remaining:   Linear Inequalities » Linear Equations Involving Absolute Values » Linear Inequalities Involving Absolute Values » Quadratic Equations » Quadratic Equations and Quadratic Functions » Extreme Value of Quadratic Function » Quadratic Formula » Solving Quadratic Equations by Factoring » Quadratic Inequalities

The simplest algebraic equation is a linear equation,

k x + b = 0,

where x is the variable; k and b are constants (k ≠ 0).

A graph of a linear function,

y = k x + b = 0   (k ≠ 0),

is a straight line with the only one x-intercept,  x = – b / a.

So a linear equation has a single solution,

.

In mathematical literature, the equation k x + b = 0 is known as an equation of a line in slope-intercept form, since b is the y-intercept, and k is the slope of the line.

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Examples
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