Graph each of the linear equations. y=x

Name: Problem 30, Chapter 7: Intermediate Algebra
Uploaded: 2022-02-28T00:57:51-08:00
Duration: 13 s
Channel: Erika Bustos
Description: Graph each of the linear equations. y=x

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Key Concepts

Linear Equation

A linear equation is an algebraic expression that describes a straight line when graphed on a coordinate plane. It typically takes the form y = mx + b, where m represents the slope, or the rate of change, and b represents the y-intercept, the point where the line crosses the y-axis.

Slope-Intercept Form

This is a common format for writing linear equations, given as y = mx + b. It explicitly shows the slope (m) and the y-intercept (b), which are key for understanding the behavior of the line and for graphing the linear equation efficiently.

Graphing Techniques

Graphing a linear equation involves plotting the y-intercept on the coordinate plane and then using the slope to determine the direction and steepness of the line. Once two or more points are identified, a straight line is drawn through them to represent the equation.

Cartesian Coordinate System

The Cartesian coordinate system is a two-dimensional plane formed by a horizontal axis (x-axis) and a vertical axis (y-axis). It provides a framework for graphing equations, ensuring that each point on a plotted line can be uniquely identified by a pair of numerical coordinates.

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