step 1 Given negative 2x plus 5y equals 10, we're going to go ahead and use Desmos .com's graphing calc

Question

$$ -2 x+5 y=10 $$

Name: Problem 38, Chapter 2: College Algebra and Trigonometry
Uploaded: 2021-08-28T05:51:32-08:00
Duration: 1 min 1 s
Channel: Jennifer Stoner
Description: -2 x+5 y=10

   $$
-2 x+5 y=10
$$

College Algebra and Trigonometry

Margaret L. Lial,… 7th Edition

Chapter 2, Problem 38

Instant Answer

Solved by Expert Jennifer Stoner

08/28/2021

Step 1

To do this, we start with the given equation $-2x + 5y = 10$. Show more…

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$$ -2 x+5 y=10 $$

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Key Concepts

Linear Equation

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. In two variables, such equations represent straight lines on a Cartesian plane.

Standard Form

The standard form of a linear equation is typically written as Ax + By = C, where A, B, and C are constants. This form is useful for general representations and certain algebraic manipulations.

Slope-Intercept Form

The slope-intercept form of a linear equation is expressed as y = mx + b, where m represents the slope of the line and b is the y-intercept. Converting a linear equation to this form aids in graphing and understanding the line's characteristics.

Graphing Linear Equations

Graphing linear equations involves plotting points on the coordinate plane that satisfy the equation and connecting them to form a straight line. This visual representation helps to illustrate the relationship between the variables.

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