/*! 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. 4.109 Use slopes to determine if the l... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 4.109 (page 517)

Use slopes to determine if the lines y=-3x+2and x-3y=4are perpendicular.

Short Answer

Expert verified

The slopes are negative reciprocals of each other, so the lines are perpendicular.

Step by step solution

01

Step 1. Given information.

The given equations are:

y=-3x+2x-3y=4

02

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

The slope-intercept form is y=mx+b, where m is the slope and (0,b)is the y-intercept.

The first equation is already in slope-intercept form.

The second equation can be written as:

-3y=-x+4y=-x+4-3y=13x-43

03

Step 3. Determine the slopes.

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

For the first equation, m1=-3.

For the second equation,m2=13.

04

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

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

m1路m2=(-3)路13=-1

The slopes are negative reciprocals of each other, so the lines are 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

In the following exercises, which order pair are solution to the given equation :

3x-2y=12

(a)(4,0)(b)(2,-3)(c)(1,6)

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸� (鈭�4,2)鈸� (鈭�1,鈭�2)鈸� (3,鈭�5)鈸� (鈭�3,5) 鈸�(53,2)

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

x+y=鈭�2

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

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

2x+4y=8
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Applied 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.