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

Write each equation in slope-intercept form.

y+1=12x8

Short Answer

Expert verified

The equation in slope-intercept form isx2y=10.

Step by step solution

01

Step 1. State the concept of slope-intercept of an equation.

The slope-intercept form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.

02

Step 2. Simplify the equation. 

In order to simplify y+1=12x8, first multiply both sides by 2 and then apply the distributive property.

y+1=12x82×y+1=2×12x82y+2=x8

03

Step 3. Write the equation in slope-intercept form.

Further, simplify the equation so as to rewrite the equation in the needed form of y=mx+b.

role="math" localid="1647426221408" 2y+2=x82y+22=x82Subtract2fromeachside2y=x10Subtractxfrombothsides1×2yx=1×10Multiplybothsidesby-1x2y=10

Thus, the equation in slope-intercept form is x2y=10.

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