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

The linear function \(y=g(x)\) is graphed in the \(x y\)-plane. If \(g(-3)=4\) and \(g(2)=19\), what is the slope of line \(g\) ?

Short Answer

Expert verified
The slope of line g is 3.

Step by step solution

01

Identify the coordinates of the two points

We are given two points on the line, which we can label as point A and point B with their corresponding coordinates: Point A: (-3, 4) Point B: (2, 19)
02

Apply the slope formula

Use the coordinates of the two points identified in Step 1 to find the slope of the line g(x) using the formula: Slope (m) = (y2 - y1) / (x2 - x1)
03

Plug in the coordinates and calculate

Now, let's plug in the coordinates of points A and B into the slope formula: m = (19 - 4) / (2 - (-3)) m = (15) / (5)
04

Find the slope

After calculating the value, we find the slope of the line g(x): m = 15 / 5 m = 3 The slope of line g is 3.

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

Most popular questions from this chapter

See all solutions

Recommended explanations on English Textbooks

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.

Sign-up for free