Login Registrieren

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

Chapter 2: Q. 2 (page 89)

The slope of the line containing the points (-2, 3) and (3, 8) is ________.

Short Answer

Expert verified

The slope of the line containing the points (-2, 3) and (3, 8) is 1

Step by step solution

01

Given Information

Two given points are (-2, 3) and (3, 8)

02

Slope

Let P = (x1 , y1) and Q = (x2 , y2) be two distinct points. Slope of a line PQ is defined by a formula

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} T w o p o i n t s a r e (- 2, 3) a n d (3, 8) S l o p e m = \frac{8 - 3}{3 - (- 2)} = \frac{5}{5} = 1$

The slope of the line containing the points (-2, 3) and (3, 8) is 1

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.

Start your free trial

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

Write the function whose graph is the graph of $y = x^{3}$ , but is:

Shifted up $4$ units.

In Problems 33– 44, determine algebraically whether each function is even, odd, or neither.

$F (x) = \frac{2 x}{|x|}$

The domain of $\frac{f}{g}$ consists of numbers $x$ for which $g (x)$ ____ $0$ that are in the domains of both ____ and ____.

Exploration Graph $y = \sqrt{x}$ . Then on the same screen graph $y = \sqrt{- x}$ . What pattern do you observe? Now try $y = 2 x + 1$ and $y = 2 (- x) + 1$ . What do you conclude?

In March $2011$ , Nicor Gas had the following rate schedule for natural gas usage in single-family residences:

Monthly customer charge $- \(13.55$

Distribution charge

First $20$ therms $- 0.1473 / t h e r m$

Next $30$ therm $- \) 0.0579 / t h e r m$

Over $50$ therm $- \(0.0519 / t h e r m$

Gas supply charge $- \) 0.51 / t h e r m$

(a) What is the charge for using $40$ therms in a month?

(b) What is the charge for using $150$ therms in a month?

(c) Develop a model that gives the monthly charge $C$ for $x$ therms of gas.

(d) Graph the function found in part (c).

See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Pure 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.

Sign-up for free