Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q10. (page 271)

Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the equation.

Slope: 3, y-intercept: 5

Short Answer

Expert verified

The equation in slope-intercept form is and the graph of the equation is:

Step by step solution

01

Step 1. State the concept of the standard form of an equation.

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

02

Step 2. Write the equation of a line in slope-intercept form. 

To find the equation of a line in slope-intercept form substitute 3 for mand 5 for bin the equation y=mx+b.

The equation of the straight line is:

y=mx+by=3x+5

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept 0,5. The slope is riserun=31. From 0,5, move up 5 units and right 1 unit. Plot the point. Draw the line through the two points.

Therefore, the equation of the straight line is y=3x+5and the graph of the equation is drawn above.

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

State whether each sentence is true or false. If false replace the underlined word or number to make a true sentence.

A graph in which two sets of data are plotted as ordered pairs in a coordinate plane is called a step function.

A shipping company charges \(8.50 to ship packages that weigh up to 1 pound and role="math" localid="1647336641330" \)7.25for each additional pound. Which of the following piecewise-defined functions represents the cost C of shipping a package that weighs p pounds?

A Cp=8.50ifp≤18.50+7.25pifp>1

B Cp=7.25ifp≤17.25+8.50pifp>1

CCp=8.50ifp≤18.50p+7.25p−1ifp>1

DCp=8.50ifp≤18.50+7.25p−1ifp>1

Write each equation in standard form.

y+4=23x−3

Graph each equation.

−3x+7y=21

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

The correlation coefficient describes whether the correlation between the variables is positive or negative and how closely the regression equation is modeling the data.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics 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