Question

Find the slope of each line. $y=-3$

   Find the slope of each line.
$y=-3$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Elayn Martin-Gay 4th Edition

Chapter 3, Problem 45

Instant Answer

Solved by Expert Heather Zimmers

03/19/2020

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This equation represents a horizontal line at a height of negative three on the coordinate plane. Show more…

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Find the slope of each line. $y=-3$

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Key Concepts

Constant Function

A constant function is one where each input results in the same output value, making its graph a horizontal line. Because there is no change in the output value as the input changes, the slope of a constant function is always zero.

Horizontal Line

A horizontal line is defined by the fact that all its points have an identical y-coordinate. This means there is no vertical change regardless of the horizontal distance covered, resulting in a slope of zero.

Slope

The slope of a line is a measure of its steepness and is calculated as the ratio of the vertical change (rise) to the horizontal change (run). This concept is fundamental in understanding the behavior of linear functions and their graphs.

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