Question

Write an equation of the line in standard form.

   Write an equation of the line in standard form.

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 5, Problem 39

Instant Answer

Solved by Expert Zach Steedman

04/19/2020

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This means the equation of the line is y = -2. Show more…

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Write an equation of the line in standard form.

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Key Concepts

Linear Equation

A linear equation represents a straight line in the coordinate plane and is characterized by a constant rate of change (slope). It describes the relationship between two variables and can be expressed in several forms, such as slope-intercept, point-slope, or standard form.

Standard Form

The standard form of a linear equation is typically written as Ax + By = C, where A, B, and C are real numbers, and A, B are not both zero. This form is useful for understanding the overall relationship between the x and y terms and is often preferred for its clarity in representing intercepts and for solving systems of linear equations.

Conversion Between Forms

Converting a linear equation to standard form usually involves starting with another form such as slope-intercept form (y = mx + b) and then rearranging the terms to collect the x and y variables on one side of the equation while ensuring that the coefficients are integers. This process may include clearing fractions by multiplying through by a common denominator to achieve the proper standard form structure.

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