Chapter 1: Q. 49 (page 41)

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.
Containing the points $(1, 3) a n d (- 1, 2)$

Short Answer

Expert verified

The equation of line is $y = \frac{1}{2} x + \frac{5}{2}$

Step by step solution

Step 1. Given Information

The given points are $(1, 3) a n d (- 1, 2)$

Step 2. Calculation

Use the given points to find the slope of line.

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{2 - 3}{- 1 - 1} = \frac{- 1}{- 2} = \frac{1}{2}$

Us ethe point slope equation to find the equation of line in slope intercept form.

$y - y_{1} = m (x - x_{1}) y - 3 = \frac{1}{2} (x - 1) y - 3 = \frac{1}{2} x - \frac{1}{2} y = \frac{1}{2} x + \frac{5}{2}$

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.
Containing the points $(1, 3) a n d (- 1, 2)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Statistics

Discrete Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. Containing the points(1,3)and(-1,2)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Statistics

Discrete Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.
Containing the points $(1, 3) a n d (- 1, 2)$