Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Q55. (page 637)

Write an equation in slope-intercept form for each graph.

Short Answer

Expert verified

The equation of the graph in slope-intercept form isy=23x+13.

Step by step solution

01

Step 1. Given Information.

From the given graph, the line passes through 4,3 and -2,-1. The equation of the line in slope-intercept form is to be determined.

02

Step 2. Calculation.

The equation of a line in slope-intercept form is y=mx+b, where m is the slope of the line and b is the y-intercept.

The slope of a line passing through two points is given by:

m=y2−y1x2−x1m=−1−3−2−4m=−4−6m=23

The equation of a line with slope m and passing through a point is given by:

y−y1=mx−x1y−3=23x−4y−3=23x−83y=23x−83+3y=23x+13

03

Step 3. Conclusion.

Hence, the equation of the graph in slope-intercept form is y=23x+13.

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

WRITING IN MATH

Answer the question that was posed at the beginning of the lesson.

How can you count the maximum number of license plates a state can issue?

Include the following in your answer:

• an explanation of how to use the Fundamental Counting Principle to find the

number of different license plates in a state such as Florida, which has 3 letters

followed by 3 numbers, and

• a way that a state can increase the number of possible plates without

increasing the length of the plate number.

Evaluate each expression.

8!3!5!

The members of the Math Club need to elect a president and a vice-president. They determine that there are a total of 272 ways that they can fill the positions with two different members. How many people are in the Math Club?

Show that Cn-1,r+Cn-1,r-1=Cn,r.

For a college application, Macawi must select one of five topics on which to write a short essay. She must also select a different topic from the list for a longer essay. How many ways can she choose the topics for the two essays?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free