Chapter 3: Q 158. (page 291)

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form.
Slope $- 1$ and $y -$ intercept $(0, 3)$

Short Answer

Expert verified

The equation in slope-intercept form is $y = - x + 3$ .

Step by step solution

Step 1. Use the slope-intercept form.

The slope-intercept form is:

$y = m x + b$

The given slope $(m) = - 1$

The given $y -$ intercept is $(0, 3)$ .

Step 2. Substitute values into slope-intercept form.

$y = m x + b y = (- 1) x + 3 y = - x + 3$

The equation of the line in slope-intercept form, with slope $- 1$ and $y -$ intercept $(0, 3)$ , is $y = - x + 3$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form.
Slope $- 1$ and $y -$ intercept $(0, 3)$

Short Answer

Step by step solution

Step 1. Use the slope-intercept form.

Step 2. Substitute values into slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form.Slope-1andy-intercept(0,3)

Short Answer

Step by step solution

Step 1. Use the slope-intercept form.

Step 2. Substitute values into slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form.
Slope $- 1$ and $y -$ intercept $(0, 3)$