Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: 3 (page 192)

The y-intercept of a line has no effect on the steepness of the line.

Short Answer

Expert verified

The y-intercept of a line has no bearing on the line's steepness. The stated assertion is correct.

Step by step solution

01

Given Information 

They- intercept of a line has no effect on the steepness of the line. The given statement is true or false.

02

Explanation 

Consider the line equation y=mx+c

The slope is localid="1650970877221" m, and the localid="1650970882232" y-intercept is localid="1650970887856" c.

The slope of the equation describes the steepness of the line.

The localid="1650970893494" y-intercept of a line is independent of the line's slope."

As a result, a line's localid="1650970899034" y-intercept has no bearing on its steepness ".

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

Answer true or false to each statement, and explain your answers.

a. The graph of a linear equation slopes upward unless the slope is 0 .

b. The value of the y-intercept has no effect on the direction that the graph of a linear equation slopes.

In Exercise 4.7, 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=-7x+6

For each exercise, determine the linear correlation coefficient by using

a. Definition 1.8 on page 183.

b. Formada 4.4 a pace 185.

Compare your answers in parts a) and (b).

Determine the linear correlation coefficient by formula and definition.

Study Time and Score. The negative relation between study time and test score found in Exercise 4.63has been discovered by many investigators. Provide a possible explanation for it.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Pure 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