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 an equation in slope-intercept form for each graph shown.

Short Answer

Expert verified

The equation in slope-intercept form for the given graph is y=23x+2.

Step by step solution

01

Step 1. Write the slope-intercept form of a line and intercept form of the line.

The equation of line in slope-intercept form is:

y=mx+b

Where is the slope of the line and bis the y-intercept of the line.

The equation of line in intercept form is:

xa+yb=1

Where aand bare the x- and y-intercepts of the line.

02

Step 2. Write the equation of the given graph in intercept form.

From the given graph, it can be noticed that the x- and y-intercepts of the given graph are 3and 2 respectively.

Therefore, the values of aand bare 3and 2 respectively.

Therefore, the equation of the line in intercept form is:

xa+yb=1x3+y2=1

03

Step 3. Write the equation of the given graph in slope-intercept form.

Rewrite the equation x3+y2=1in the slope-intercept form to find the equation of the given graph in slope-intercept form.

Therefore, it is obtained that:

x3+y2=1x3+y2=1y2=x3+1y=2(x3+1)y=23x+2

Therefore, the equation of the given graph in slope-intercept form is y=23x+2.

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