Question

Construct the graph of $6 x+10 y-60=0$.

   Construct the graph of $6 x+10 y-60=0$.

Elementary Algebra

Elementary Algebra

Wade Ellis, Jr. 1st Edition

Chapter 10, Problem 64

Instant Answer

Solved by Expert Lily An

04/22/2020

Step 1

6x + 10y - 60 = 0 10y = -6x + 60 y = -6/10 * x + 60/10 y = -3/5 * x + 6 Show more…

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Construct the graph of $6 x+10 y-60=0$.

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Key Concepts

Intercept Calculation

Determining the intercepts involves setting one variable to zero to solve for the other; setting x = 0 gives the y-intercept and setting y = 0 gives the x-intercept. These intercepts provide key points that facilitate the construction of the line's graph.

Slope-Intercept Form

Rewriting a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept, provides a clear view of the line's slope and its point of intersection with the y-axis. This form simplifies graphing and analyzing linear relationships.

Linear Equation

A linear equation represents a first-degree equation in two variables and graphs as a straight line on the coordinate plane. It forms the foundation for understanding relationships that change at a constant rate.

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