Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Which of the following is an equation for the line that passes through2,5 and is perpendicular to 2x+4y=8?

Ay=2x+10By=12x4Cy=2x9Dy=2x1

Short Answer

Expert verified

The equation for line passing through2,5 and perpendicular to2x+4y=8 is y=2x9.

Step by step solution

01

Step 1. Write equation in slope-intercept form.

Write an equation of line in slope-intercept form.

2x+4y2x=82x4y4=82x4y=12x+2

02

Step 2. Find slope of a line.

The slope of line with equationy=12x+2 is 12. The slope of perpendicular line is the opposite reciprocal of12 or 2.

03

Step 3. Find the y-intercept.

Substitute 2 for m and 2 for x and-5 for y in y=mx+c.

5=22+cc=54=9

The equation in the form ofy=mx+c is y=2x9.

Therefore, option C is the required answer.

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 Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free