## Chapter 5

# Linear Functions

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Linear functions are written as equations and graphs of straight lines with unique values for their slope and y-intercepts.

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

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

A zero, or

The slope-intercept form of a line has the information to construct a quick and easy line using the slope,

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

Any linear equation can be written in standard form, which makes it easy to calculate the zero, or

The distance and the midpoint formulas give us the tools to find important information about two points.

Parallel lines never intersect; perpendicular lines intersect at right angles.

A linear inequality is an expression that is designated as less than, greater than, less than or equal to, or greater than or equal to.