Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q. 107 (page 42)

Write an equation of each line. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.

Short Answer

Expert verified

The equation of line is:y=x+2.

Step by step solution

01

Step 1. Given information 

Graph of line is:

02

Step 2. Finding slope of the line.  

The two points on the line are: (-2,0)and(0,2)

Slope of the line is given by,

m=y2-y1x2-x1⇒m=2-00-(-2)⇒m=22⇒m=1

03

Step 3. Finding y-intercept of the line. 

From the graph, y-intercept,b=2

04

Step 4. Finding equation of the line

Slope-intercept form of the line is: y=mx+b

Substituting slope and y-intercept in the equation above, we get,y=x+2

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

Graph the line containing the point P and having slope m.

P(1,3),m=-25

Find the distance d(P1,P2)between the points P1andP2.

P1=(-4,-3);P2=(6,2)

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.

Tell whether the given points are on the graph of the equation.

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)

The term grade is used to describe the inclination of a road. How does this term relate to the notion of slope of a line? Is a 4% grade very steep? Investigate the grades of some mountainous roads and determine their slopes. Write a brief essay on your findings.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

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