Question

Graph each of the equations. $$ 2 x+y=6 $$

Name: Problem 36, Chapter 7: Intermediate Algebra
Uploaded: 2022-03-16T23:00:41-08:00
Duration: 44 s
Channel: James Kiss
Description: Graph each of the equations. 2 x+y=6

   Graph each of the equations.
$$
2 x+y=6
$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 7, Problem 36

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Solved by Expert James Kiss

03/16/2022

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Graph each of the equations. $$ 2 x+y=6 $$

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Key Concepts

Intercepts

The intercepts are the points at which the graph of the equation crosses the coordinate axes. The x-intercept is found by setting y to zero, and the y-intercept is determined by setting x to zero. Identifying these intercepts is an essential method for accurately plotting the graph of a linear equation.

Linear Equations

A linear equation in two variables represents a straight line on the coordinate plane. It defines a constant rate of change between the two variables and is one of the fundamental topics in algebra and analytic geometry.

Slope-Intercept Form

Rewriting a linear equation in slope-intercept form (y = mx + b) reveals the slope (m) and the y-intercept (b) directly. This form simplifies the process of understanding and graphing the line, as it clearly indicates the steepness and the starting point on the y-axis.

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