/*! 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. 4.111 Use slopes to determine if the l... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 4.111 (page 517)

Use slopes to determine if the lines 5x+4y=1and 4x+5y=3are perpendicular.

Short Answer

Expert verified

The slopes are not negative reciprocals of each other, so the lines are not perpendicular.

Step by step solution

01

Step 1. Given information.

The given equations are:

5x+4y=14x+5y=3

02

Step 2. Write first equations in slope-intercept form.

The first equation can be written as:

5x+4y=14y=-5x+1y=-5x+14y=-54x+14

03

Step 3. Write second equations in slope-intercept form.

The second equation can be written as:

4x+5y=35y=-4x+3y=-4x+35y=-45x+35

04

Step 4. Determine whether the lines are perpendicular or not.

Compare the slope intercepts forms of the equations with y=mx+b.

For the first equation, m1=-54.

For the second equation, m2=-45.

If the product of slopes is -1, then the lines are perpendicular.

m1路m2=-54路-45=1鈮�-1

The slopes are not negative reciprocals of each other, so the lines are not perpendicular.

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 for5x-y=5

Find the intercepts for3x+y=9

In the following exercises, complete the table to find solutions to each linear equation.

In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system :

Complete the table to find three solutions to this equation:
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Geometry

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.