/*! 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. 476 In the following exercises, find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 476 (page 540)

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope鈥搃ntercept form.

line2x+5y=6, point0,0

Short Answer

Expert verified

The equation of the line isy=52x.

Step by step solution

01

Step 1. Given Information

We are given the line 2x+5y=6and point 0,0. We need to find the line perpendicular to the given line.

02

Step 2. Finding the perpendicular line

The slope-intercept form of given line is:

2x+5y=6鈬�5y=6-2x鈬�y=-2x5+65鈬�y=-25x+65

Slope of given line =-25

The slope of the perpendicular line is the negative reciprocal of the slope of the given line.

Therefore, slope of perpendicular line =52

The equation of the perpendicular line with the slope 52and point 0,0is:

y-y1=mx-x1鈬�y-0=52x-0鈬�y=52x

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, find three solutions to each linear equation.

5x鈭�y=10

Which of the following ordered pairs are solutions to 2x+3y=6?

role="math" localid="1647176031218" (a)(3,0)(b)(2,0)(c)(6,-2)

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: 鈸� (鈭�4,1)鈸� (鈭�2,3)鈸� (2,鈭�5)鈸� (鈭�2,5) 鈸�(-3,52)

In the following exercises, plot each point in a rectangular coordinate system.

鈸� (鈭�2,0) 鈸� (鈭�3,0)鈸� (0,0) 鈸� (0,4)鈸� (0,2)

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

2x+y=6

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

See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

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.