Question

Write an equation of the line satisfying the given conditions. The line is parallel to the $x$ -axis and passes through $(4,5)$.

Name: Problem 79, Chapter 2: Intermediate Algebra
Uploaded: 2020-06-17T07:01:48-08:00
Duration: 33 s
Channel: Ankit Gupta
Description: Write an equation of the line satisfying the given conditions. The line is parallel to the x -axis and passes through (4,5).

   Write an equation of the line satisfying the given conditions.
The line is parallel to the $x$ -axis and passes through $(4,5)$.

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 2, Problem 79

Instant Answer

Solved by Expert Ankit Gupta

06/17/2020

Step 1

This means that the slope of the line is 0. In the slope-intercept form of a line, $y = mx + b$, $m$ is the slope. So, in this case, $m = 0$. Show more…

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Write an equation of the line satisfying the given conditions. The line is parallel to the $x$ -axis and passes through $(4,5)$.

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Key Concepts

Parallel Lines

Parallel lines in a plane never intersect, and if a line is stated to be parallel to the x-axis, it means that it mirrors the direction of the x-axis. This ensures that the line is horizontal, reinforcing that its y-coordinate is the same at every point.

Coordinate Geometry and Line Equations

Coordinate geometry involves representing figures and relationships using algebraic equations on a coordinate plane. In particular, lines can be described with various forms, such as the slope-intercept form, which encodes a line's slope and y-intercept, or simpler forms when additional conditions like being horizontal or vertical apply.

Horizontal Lines

Horizontal lines run parallel to the x-axis, meaning they have a constant y-coordinate regardless of the value of x. Their slope is 0, and their equation can be expressed in the form y = k, where k is the constant y value for every point on the line.

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