Chapter 4: Q. 298 (page 520)

In the following exercises, identify the slope and y-intercept of each line.
$3 x + y = 5$

Short Answer

Expert verified

The slope of the line is $- 3$ and the y-intercept is $(0, 5)$ .

Step by step solution

Step 1. Given information.

The given equation is:

$3 x + y = 5$

Step 2. Determine the slope and y-intercept.

Write the equation in slope-intercept form.

$\begin{array}{rcl} 3 x + y & = & 5 \\ y & = & - 3 x + 5 \end{array}$

The slope-intercept form of a line is $y = m x + b$ , where m is the slope and $(0, b)$ is the y-intercept.

Compare the given equation with $y = m x + b$ .

$\begin{array}{rcl} m & = & - 3 \\ b & = & 5 \end{array}$

Step 3. Conclusion.

The slope of the line is $- 3$ and the y-intercept is $(0, 5)$ .

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, identify the slope and y-intercept of each line.
$3 x + y = 5$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the slope and y-intercept.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Applied Mathematics

Decision Maths

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, identify the slope and y-intercept of each line.3x+y=5

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the slope and y-intercept.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Applied Mathematics

Decision Maths

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, identify the slope and y-intercept of each line.
$3 x + y = 5$