Question

Find the slope and the $y$ -intercept of the line. $$y=6$$

   Find the slope and the $y$ -intercept of the line.
$$y=6$$

Algebra and Trigonometry

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 5, Problem 103

Instant Answer

Solved by Expert Ankit Gupta

07/08/2020

Step 1

We can rewrite this equation in the form of $y=mx+c$, where $m$ is the slope and $c$ is the y-intercept. Show more…

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Find the slope and the $y$ -intercept of the line. $$y=6$$

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Key Concepts

Horizontal Line

A horizontal line is a special type of line where the value of y remains constant regardless of x. Such a line has a slope of 0 since there is no vertical change, and its y-intercept is the constant value that y equals.

Y-intercept

The y-intercept is the point where the line crosses the y-axis, meaning it is the value of y when x equals 0. In the slope-intercept form y = mx + b, the y-intercept is represented by b.

Slope-intercept Form

The slope-intercept form of a linear equation, represented as y = mx + b, is used to quickly identify both the slope (m) and the y-intercept (b) of the line. This form is fundamental in studying linear relationships in algebra and coordinate geometry.

Slope

The slope is a measure of the steepness or incline of a line. It represents the vertical change for a unit of horizontal change between any two points on the line. In the context of y = mx + b, it is given by m.

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