Question

Find an equation of the line, in slope-intercept form, having the given properties. Parallel to the line $y=2 x+5$ and passing through (0,3)

   Find an equation of the line, in slope-intercept form, having the given properties.
Parallel to the line $y=2 x+5$ and passing through (0,3)

Precalculus : Building Concepts and Connections

Precalculus : Building Concepts and Connections

Revathi Narasimhan 1st Edition

Chapter 1, Problem 92

Instant Answer

Solved by Expert Julie Silva

05/08/2020

Step 1

The slope of this line is 2. Since parallel lines have the same slope, the slope of the line we are looking for is also 2. Show more…

Show all steps

lock

Thanks for your feedback!

Find an equation of the line, in slope-intercept form, having the given properties. Parallel to the line $y=2 x+5$ and passing through (0,3)

Play audio

Feedback

Powered by NumerAI

Julie Silva and 52 other subject Precalculus educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Slope-Intercept Form

This form of a linear equation is written as y = mx + b, where m represents the slope and b represents the y-intercept. It provides a clear way to understand both the inclination of the line and the point where the line crosses the y-axis, making it a popular choice for expressing the equation of a line.

Parallel Lines

Parallel lines are lines in the same plane that never intersect. A crucial property of parallel lines is that they have identical slopes. This concept ensures that when constructing an equation for a line parallel to a given line, the slope from the original line is directly used for the new line.

Using a Point to Determine a Line Equation

When a line must pass through a specific point, that point's coordinates can be substituted into the line's equation to solve for any missing parameters, such as the y-intercept. This technique, often paired with the known slope, is essential for determining the unique equation of a line that meets the given conditions.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later