Question

Write an equation of the line satisfying the given conditions. The line is parallel to the line $y=-2$ and passes through $(-3,4)$.

Name: Problem 82, Chapter 2: Intermediate Algebra
Uploaded: 2020-06-17T07:02:12-08:00
Duration: 43 s
Channel: Ankit Gupta
Description: Write an equation of the line satisfying the given conditions. The line is parallel to the line y=-2 and passes through (-3,4).

   Write an equation of the line satisfying the given conditions.
The line is parallel to the line $y=-2$ and passes through $(-3,4)$.

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 2, Problem 82

Instant Answer

Solved by Expert Ankit Gupta

06/17/2020

Step 1

This line is parallel to the x-axis, which means its slope is 0. Show more…

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Write an equation of the line satisfying the given conditions. The line is parallel to the line $y=-2$ and passes through $(-3,4)$.

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Key Concepts

Parallel Lines

Parallel lines are lines in a plane that never intersect, meaning they have the same slope when they are not vertical. This concept is important when determining the equation of a line that is parallel to a given line because the slopes of the lines must be identical.

Horizontal Lines

Horizontal lines are lines that run left to right and have a constant y-value at all points, resulting in a slope of zero. Their equation is typically written in the form y = constant, which underpins the reasoning behind identifying or constructing any line that is parallel to a horizontal line.

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