/*! 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.549 Find the equation of each line. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q.549 (page 365)

Find the equation of each line. Write the equation in slope-intercept form.

perpendicular to the line y=54x+2, containing the point-10,3

Short Answer

Expert verified

The equation of the line in slope-intercept form isy=-45x-5

Step by step solution

01

Step 1. Given Information

Given a line is perpendicular to y=54x+2

And the line passes through the point-10,3

The equation of the line in slope intercept form is to be determined.

02

Step 2. Calculation

The equation of a line in slope-intercept form is

When two lines are perpendicular, the product of slopes is -1.

Here the slope of the line y=54x+2is 54.

Hence the slope of the line perpendicular to this line is -45.

Equation of a line with slope mand passing through the point x1,y1 is y-y1=mx-x1

Plugging the values in the equation:

y-y1=mx-x1y-3=-45x--10y-3=-45x+10y-3=-45x-8y=-45x-8+3y=-45x-5

03

Step 3. Conclusion

The equation of the given line in slope intercept form isy=-45x-5

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

Graph the equation 3x-y=-6using the intercepts.

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

line y = 鈭�3x + 6, point (1, 鈭�5)

Determine an equation of the line that contains the points (7,2) and (7,-2). Write the equation in slope-intercept form.

In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

(3, 8) and (3, 鈭�4)

In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

(7, 1) and (5, 0)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

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.