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In Exercises $13-26,$ begin by solving the linear equation for $y .$ This will put the equation in slope-intercept form. Then find the slope and the $y$ -intercept of the line with this equation. $$5 x-2 y=10$$

Name: Problem 26, Chapter 3: Introductory and Intermediate Algebra for College Students 4th
Uploaded: 2020-06-20T21:03:26-08:00
Duration: 2 min 19 s
Channel: Guadalupe Garcia
Description: In Exercises 13-26, begin by solving the linear equation for y . This will put the equation in slope-intercept form. Then find the slope and the y -intercept of the line with this equation. 5 x-2 y=10

   In Exercises $13-26,$ begin by solving the linear equation for $y .$ This will put the equation in slope-intercept form. Then find the slope and the $y$ -intercept of the line with this equation.
$$5 x-2 y=10$$

Introductory and Intermediate Algebra for College Students 4th

Robert Blitzer 4th Edition

Chapter 3, Problem 26

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Solved by Expert Guadalupe Garcia

06/20/2020

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This gives us: $$-2y = 10 - 5x$$ Show more…

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In Exercises $13-26,$ begin by solving the linear equation for $y .$ This will put the equation in slope-intercept form. Then find the slope and the $y$ -intercept of the line with this equation. $$5 x-2 y=10$$

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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. Such equations represent straight lines when graphed and are typically expressed in forms like Ax + By = C.

Slope-Intercept Form

The slope-intercept form of a linear equation is written as y = mx + b, where m represents the slope of the line, and b represents the y-intercept. This form is particularly useful for quickly identifying the key characteristics of a line.

Slope

The slope of a line, denoted by m in the slope-intercept form, is a measure of its steepness and direction. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.

Y-intercept

The y-intercept is the point where a line crosses the y-axis, which occurs when x equals 0. In the slope-intercept form y = mx + b, the y-intercept is represented by the constant b.

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