Graph each of the equations. 2 x-y=4

Name: Problem 37, Chapter 7: Intermediate Algebra
Uploaded: 2022-03-16T23:01:50-08:00
Duration: 53 s
Channel: James Kiss
Description: Graph each of the equations. 2 x-y=4

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Key Concepts

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. These equations represent straight lines when graphed on a Cartesian coordinate system and are foundational in understanding relationships between two variables.

Standard Form and Slope-Intercept Form

Linear equations can be expressed in different forms, notably the standard form (Ax + By = C) and the slope-intercept form (y = mx + b). Converting between these formats is essential for analyzing the properties of the line, such as its slope (m) and y-intercept (b).

Intercepts

Finding the intercepts of a linear equation, such as the x-intercept (the point where the line crosses the x-axis) and the y-intercept (the point where the line crosses the y-axis), is a key step in graphing the line. These intercepts provide clear reference points that help in drawing an accurate graph.

Graphing on the Cartesian Plane

Graphing involves plotting points on a two-dimensional coordinate system and drawing the line that represents the linear equation. This process includes determining the slope, locating intercepts, and understanding how changes in the equation affect the position and orientation of the line.

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