/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 4.5 In Exercise 4.5, we give linear ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 4.5 (page 161)

In Exercise 4.5, we give linear equations. For each equation,

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

Given equation is,

y=4x+3

Short Answer

Expert verified

a. y-intercept is 3and slope is 4

b. Slope is upward for given linear equation.

c. The graph is given below.

Step by step solution

01

Part(a) Step 1: Given information

We need to find y-intercept and slope of given linear equation.

02

Part(a) Step 2: Calculations

General form of linear equation is y=mx+cwhere mis slope and cis intercept.

Comparing y=4x+3with general form we get,

slope m=4

y-interceptc=3.

03

Part(b) Step 1: Given information

We have to determine the direction of slope of given linear equation.

04

Part(b) Step 2: Answer and its explanation

As we see the slope is having positive sign so the slope will point in upward direction.

05

Part(c) Step 1: Given information

We have to graph the equation.

06

Part(c) Step 2: Explanation

The graph is given below

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Wasp Mating Systems. In the paper "Mating System and Sex Allocation in the Gregarious Parasitoid Cotesia glomerata" (Animal Behaviour, Vol. 66, pp. 259-264). H. Gu and S. Dorn reported on various aspects of the mating system and sex allocation strategy of the wasp C. glomerata, One part of the study involved the investigation of the percentage of male wasps dispersing before mating in relation to the brood sex ratio (proportion of males). The data obtained by the researchers are on the WeissStats site.

a. Obtain a scatterplot for the data.

b. Is it reasonable to find a regression line for the data? Explain your answer.

More Money, More Beer? The data for per capita income and per capita beer consumption for the 50states and Washington, D.C. from Exercise 4.77are on the Weiss Stats site.

(a) Decide whether finding a regression line for the data is reasonable. If so, then also do parts(b)-(d).

Gas Gurzlers. The data for gas mileage and engine displacement for 121vehicles from Exercise 4.78 are provided on the WeissStats site.

a. decide whether the use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).

b. obtain the linear correlation coefficient.

c. interpret the value of r in terms of the linear relationship between the mo variables in question.

(a) Plot the data points and the first linear equation on one graph and the data points and the second linear equation on another.

(b) Construct tables for x,y,e,e2,y^

(c) Determine which line fits the data points better according to the least-square criterion.

In Problems 3-5, answer true or false to each statement. Explain your answers.

4. A horizontal line has no slope.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

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.