Algebra
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Boundless Algebra
Linear Functions
Algebra Textbooks Boundless Algebra Linear Functions
Algebra Textbooks Boundless Algebra
Algebra Textbooks
Algebra

Section 1

Introduction to Linear Functions

Book Version 13
By Boundless
Boundless Algebra
Algebra
by Boundless
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7 concepts
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What is a Linear Function?

Linear functions are algebraic equations whose graphs are straight lines with unique values for their slope and y-intercepts.

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Slope

Slope describes the direction and steepness of a line, and can be calculated given two points on the line.

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Direct and Inverse Variation

Two variables in direct variation have a linear relationship, while variables in inverse variation do not.

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Zeroes of Linear Functions

A zero, or $x$-intercept, is the point at which a linear function's value will equal zero.

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Slope-Intercept Equations

The slope-intercept form of a line summarizes the information necessary to quickly construct its graph.

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Point-Slope Equations

The point-slope equation is another way to represent a line; only the slope and a single point are needed.

Linear Equations in Standard Form

Any linear equation can be written in standard form, which makes it easy to calculate the zero, or $x$-intercept, of the equation.

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