linear equations

First-degree algebraic expressions

Linear equations are algebraic equations where variables appear only to the first power—no squares, cubes, or higher exponents.

The graph of a linear equation in two variables is always a straight line: The linear equation y = 2x + 3 crosses the y-axis at 3.

Systems of linear equations can be solved to find where lines intersect.

Linear equations model relationships where change happens at a constant rate.

Related

geometry · division · slope · matrices · y-intercept · addition · multiplication · arithmetic · vectors · numbers · run · y · x · graph · graph paper · solve · solution · system

Categories
Opposites
mathematical complexity/degree

linear equationsquadratic equations

Polynomials of degree two

polynomial equations · differential equations

graphical form

linear equationsparabolas

Symmetric open-ended curves

curves · hyperbolas · ellipses · conic sections · spirals

solution behavior

linear equationscomplex systems

Interconnected elements with emergent behavior

Family

line, equal, equation, linear, nonlinear, equations, linearity, collinear, linearize

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Top 200,000
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Known to kids · Used worldwide · Timeless · Abstract · Rated G