/*! 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. 135 In the following exercise, use s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 135 (page 278)

In the following exercise, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

2x-4y=6;x-2y=3

Short Answer

Expert verified

Neither parallel nor perpendicular.

Step by step solution

01

Step 1. Given information

The given equations are2x-4y=6andx-2y=3.

02

Step 2. Solve for y.

Solve both the equations to obtain the value of yin terms of x.

2x-4y=6-4y=6-2x-4y-4=6-2x-4y=-32+12x

x-2y=3-2y=3-x-2y-2=3-x-2y=-32+12x

03

Step 3. Determine slope and y- intercepts.

  • Now both equations are in slope-intercept form.
  • Determine the slope by comparing both equations with y=mx+b.

m=12

  • The y-intercept of first and second line is 0,-32and 0,-32respectively.
04

Step 4. Conclusion

Since both the lines have same slope and same values of y-intercepts, so they are neither parallel nor perpendicular to each other.

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

Find the intercepts for the equation4x-y=8.

Graph the equation x-y=-4using the intercepts.

Graph the equationsx=3,y=1.

Find the intercepts of the equation.

x+2y=6

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

f(x)=x3-2
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

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.