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High School Math Algebra Algebra 1

Write an equation for the relation shown in the table.

Write an equation for the relation shown in the table.

Algebra 1

1st Edition

ISBN: 9780078884801

Author: McGraw-Hill/Glencoe

Publisher: Glencoe/McGraw-Hill School Pub Co

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Concept explainers

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Question

Chapter 3.6, Problem 2ACYP

To determine

Write an equation for the relation shown in the table.

Expert Solution & Answer

Answer to Problem 2ACYP

y=−x+4

Explanation of Solution

Given:

The table and the graph:

Algebra 1, Chapter 3.6, Problem 2ACYP

The ordered pair: (1,3), (2,2), (3,1), (4,0),

Concept Used:

So the rate of change is:

Rate of change: m= y2−y1x2−x1

Calculation:

Look for the pattern that can be described in an equation.

The difference between the values of x − coordinates is + 1. The difference y − coordinates is (2−3=−1) is − 1.

This suggests that the k − value is k=−11=−1 .

Rate of change is − 1

Equation: y= −x +b when x = 1 , y = 3

y= −x +b...............now find ' b '3 = −1 +b...............x=1;y=33+1=−1+1+b4=by=−x+4

The required equation is y=−x+4

Thus, the required equation is y=−x+4

Chapter 3.6, Problem 1CCYP

Chapter 3.6, Problem 2BCYP

Chapter 3 Solutions

Algebra 1

Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 58PPS Ch. 3.1 - Prob. 60HP Ch. 3.1 - Prob. 68STP Ch. 3.1 - Prob. 1ACYP Ch. 3.1 - Prob. 1BCYP Ch. 3.1 - Prob. 2CYP Ch. 3.1 - Prob. 3CYP Ch. 3.1 - Prob. 4ACYP Ch. 3.1 - Prob. 4BCYP

Ch. 3.1 - Prob. 5ACYP Ch. 3.1 - Prob. 5BCYP Ch. 3.1 - Prob. 5CCYP Ch. 3.1 - Prob. 1CYU Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13PPS Ch. 3.1 - Prob. 14PPS Ch. 3.1 - Prob. 15PPS Ch. 3.1 - Prob. 16PPS Ch. 3.1 - Prob. 17PPS Ch. 3.1 - Prob. 18PPS Ch. 3.1 - Prob. 19PPS Ch. 3.1 - Prob. 20PPS Ch. 3.1 - Prob. 21PPS Ch. 3.1 - Prob. 22PPS Ch. 3.1 - Prob. 23PPS Ch. 3.1 - Prob. 24PPS Ch. 3.1 - Prob. 25PPS Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42PPS Ch. 3.1 - Prob. 43PPS Ch. 3.1 - Prob. 44PPS Ch. 3.1 - 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Prob. 6CYU Ch. 3.2 - Prob. 7CYU Ch. 3.2 - Prob. 8CYU Ch. 3.2 - Prob. 10PPS Ch. 3.2 - Prob. 11PPS Ch. 3.2 - Prob. 12PPS Ch. 3.2 - Prob. 13PPS Ch. 3.2 - Prob. 14PPS Ch. 3.2 - Prob. 15PPS Ch. 3.2 - Prob. 16PPS Ch. 3.2 - Prob. 17PPS Ch. 3.2 - Prob. 18PPS Ch. 3.2 - Prob. 19PPS Ch. 3.2 - Prob. 20PPS Ch. 3.2 - Prob. 21PPS Ch. 3.2 - Prob. 24PPS Ch. 3.2 - Prob. 25PPS Ch. 3.2 - Prob. 26PPS Ch. 3.2 - Prob. 27PPS Ch. 3.2 - Prob. 28PPS Ch. 3.2 - Prob. 29PPS Ch. 3.2 - Prob. 30PPS Ch. 3.2 - Prob. 31PPS Ch. 3.2 - Prob. 32PPS Ch. 3.2 - Prob. 33PPS Ch. 3.2 - Prob. 34PPS Ch. 3.2 - Prob. 35PPS Ch. 3.2 - Prob. 36PPS Ch. 3.2 - Prob. 38PPS Ch. 3.2 - Prob. 39PPS Ch. 3.2 - Prob. 40PPS Ch. 3.2 - Prob. 41PPS Ch. 3.2 - Prob. 42PPS Ch. 3.2 - Prob. 43PPS Ch. 3.2 - Prob. 46HP Ch. 3.2 - Prob. 47HP Ch. 3.2 - Prob. 48HP Ch. 3.2 - Prob. 49HP Ch. 3.2 - Prob. 50HP Ch. 3.2 - Prob. 51STP Ch. 3.2 - Prob. 52STP Ch. 3.2 - Prob. 54STP Ch. 3.2 - Prob. 55SR Ch. 3.2 - Prob. 56SR Ch. 3.2 - Prob. 57SR Ch. 3.2 - Prob. 58SR Ch. 3.2 - 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Prob. 2ACYP Ch. 3.4 - Prob. 2BCYP Ch. 3.4 - Prob. 2CCYP Ch. 3.4 - Prob. 2DCYP Ch. 3.4 - Prob. 3CYP Ch. 3.4 - Prob. 4ACYP Ch. 3.4 - Prob. 4BCYP Ch. 3.4 - Prob. 4CCYP Ch. 3.4 - Prob. 4DCYP Ch. 3.4 - Prob. 1CYU Ch. 3.4 - Prob. 2CYU Ch. 3.4 - Prob. 3CYU Ch. 3.4 - Prob. 4CYU Ch. 3.4 - Prob. 5CYU Ch. 3.4 - Prob. 6CYU Ch. 3.4 - Prob. 7CYU Ch. 3.4 - Prob. 8CYU Ch. 3.4 - Prob. 9CYU Ch. 3.4 - Prob. 10PPS Ch. 3.4 - Prob. 11PPS Ch. 3.4 - Prob. 12PPS Ch. 3.4 - Prob. 13PPS Ch. 3.4 - Prob. 14PPS Ch. 3.4 - Prob. 15PPS Ch. 3.4 - Prob. 16PPS Ch. 3.4 - Prob. 17PPS Ch. 3.4 - Prob. 18PPS Ch. 3.4 - Prob. 19PPS Ch. 3.4 - Prob. 20PPS Ch. 3.4 - Prob. 21PPS Ch. 3.4 - Prob. 22PPS Ch. 3.4 - Prob. 23PPS Ch. 3.4 - Prob. 24PPS Ch. 3.4 - Prob. 25PPS Ch. 3.4 - Prob. 26PPS Ch. 3.4 - Prob. 27PPS Ch. 3.4 - Prob. 28PPS Ch. 3.4 - Prob. 29PPS Ch. 3.4 - Prob. 30PPS Ch. 3.4 - Prob. 31PPS Ch. 3.4 - Prob. 32PPS Ch. 3.4 - Prob. 33PPS Ch. 3.4 - Prob. 34PPS Ch. 3.4 - Prob. 35PPS Ch. 3.4 - Prob. 36PPS Ch. 3.4 - Prob. 37PPS Ch. 3.4 - Prob. 38PPS Ch. 3.4 - Prob. 39PPS Ch. 3.4 - Prob. 40PPS Ch. 3.4 - Prob. 41PPS Ch. 3.4 - Prob. 42PPS Ch. 3.4 - Prob. 43PPS Ch. 3.4 - Prob. 44PPS Ch. 3.4 - Prob. 45HP Ch. 3.4 - Prob. 46HP Ch. 3.4 - Prob. 47HP Ch. 3.4 - Prob. 48HP Ch. 3.4 - Prob. 49HP Ch. 3.4 - Prob. 50HP Ch. 3.4 - Prob. 51STP Ch. 3.4 - Prob. 52STP Ch. 3.4 - Prob. 53STP Ch. 3.4 - Prob. 54STP Ch. 3.4 - Prob. 55SR Ch. 3.4 - Prob. 56SR Ch. 3.4 - Prob. 57SR Ch. 3.4 - Prob. 58SR Ch. 3.4 - Prob. 59SR Ch. 3.4 - Prob. 60SR Ch. 3.4 - Prob. 61SR Ch. 3.4 - Prob. 62SR Ch. 3.4 - Prob. 63SR Ch. 3.4 - Prob. 64SR Ch. 3.4 - Prob. 65SR Ch. 3.4 - Prob. 66SR Ch. 3.4 - Prob. 67SR Ch. 3.4 - Prob. 68S Ch. 3.4 - Prob. 69S Ch. 3.4 - Prob. 70S Ch. 3.4 - Prob. 71S Ch. 3.4 - Prob. 72S Ch. 3.4 - Prob. 73S Ch. 3.5 - Prob. 1ACYP Ch. 3.5 - Prob. 1BCYP Ch. 3.5 - Prob. 2CYP Ch. 3.5 - Prob. 3ACYP Ch. 3.5 - Prob. 3BCYP Ch. 3.5 - Prob. 3CCYP Ch. 3.5 - Prob. 3DCYP Ch. 3.5 - Prob. 4ACYP Ch. 3.5 - Prob. 4BCYP Ch. 3.5 - Prob. 1CYU Ch. 3.5 - Prob. 2CYU Ch. 3.5 - Prob. 3CYU Ch. 3.5 - Prob. 4CYU Ch. 3.5 - Prob. 5CYU Ch. 3.5 - Prob. 6CYU Ch. 3.5 - Prob. 7CYU Ch. 3.5 - Prob. 8PPS Ch. 3.5 - Prob. 9PPS Ch. 3.5 - Prob. 10PPS Ch. 3.5 - Prob. 11PPS Ch. 3.5 - Prob. 12PPS Ch. 3.5 - Prob. 13PPS Ch. 3.5 - Prob. 14PPS Ch. 3.5 - Prob. 15PPS Ch. 3.5 - Prob. 16PPS Ch. 3.5 - Prob. 17PPS Ch. 3.5 - Prob. 18PPS Ch. 3.5 - Prob. 19PPS Ch. 3.5 - Prob. 20PPS Ch. 3.5 - Prob. 21PPS Ch. 3.5 - Prob. 22PPS Ch. 3.5 - Prob. 23PPS Ch. 3.5 - Prob. 24PPS Ch. 3.5 - Prob. 25PPS Ch. 3.5 - Prob. 26PPS Ch. 3.5 - Prob. 27PPS Ch. 3.5 - Prob. 28PPS Ch. 3.5 - Prob. 29PPS Ch. 3.5 - Prob. 30PPS Ch. 3.5 - Prob. 32HP Ch. 3.5 - Prob. 33HP Ch. 3.5 - Prob. 34HP Ch. 3.5 - Prob. 35HP Ch. 3.5 - Prob. 36HP Ch. 3.5 - Prob. 37STP Ch. 3.5 - Prob. 38STP Ch. 3.5 - Prob. 39STP Ch. 3.5 - Prob. 40STP Ch. 3.5 - Prob. 41SR Ch. 3.5 - Prob. 42SR Ch. 3.5 - Prob. 43SR Ch. 3.5 - Prob. 44SR Ch. 3.5 - Prob. 45SR Ch. 3.5 - Prob. 46SR Ch. 3.5 - Prob. 47SR Ch. 3.5 - Prob. 48SR Ch. 3.5 - Prob. 49SR Ch. 3.5 - Prob. 50S Ch. 3.5 - Prob. 51S Ch. 3.5 - Prob. 52S Ch. 3.5 - Prob. 53S Ch. 3.5 - Prob. 54S Ch. 3.5 - Prob. 55S Ch. 3.5 - Prob. 31PPS Ch. 3.6 - Prob. 2CYU Ch. 3.6 - Prob. 3CYU Ch. 3.6 - Prob. 5PPS Ch. 3.6 - Prob. 6PPS Ch. 3.6 - Prob. 7PPS Ch. 3.6 - Prob. 8PPS Ch. 3.6 - Prob. 9PPS Ch. 3.6 - Prob. 10PPS Ch. 3.6 - Prob. 1CYU Ch. 3.6 - Prob. 4PPS Ch. 3.6 - Prob. 11PPS Ch. 3.6 - Prob. 12PPS Ch. 3.6 - Prob. 13PPS Ch. 3.6 - Prob. 14HP Ch. 3.6 - Prob. 15HP Ch. 3.6 - Prob. 16HP Ch. 3.6 - Prob. 17HP Ch. 3.6 - Prob. 18HP Ch. 3.6 - Prob. 1ACYP Ch. 3.6 - Prob. 1BCYP Ch. 3.6 - Prob. 1CCYP Ch. 3.6 - Prob. 2ACYP Ch. 3.6 - Prob. 2BCYP Ch. 3.6 - Prob. 19STP Ch. 3.6 - Prob. 20STP Ch. 3.6 - Prob. 21STP Ch. 3.6 - Prob. 22STP Ch. 3.6 - Prob. 23SR Ch. 3.6 - Prob. 24SR Ch. 3.6 - Prob. 25SR Ch. 3.6 - Prob. 26SR Ch. 3.6 - Prob. 27SR Ch. 3.6 - Prob. 28SR Ch. 3.6 - Prob. 29SR Ch. 3.6 - Prob. 30S Ch. 3.6 - Prob. 31S Ch. 3.6 - Prob. 32S Ch. 3.6 - Prob. 33S Ch. 3.6 - Prob. 34S Ch. 3.6 - Prob. 35S Ch. 3 - Prob. 1QC Ch. 3 - Prob. 2QC Ch. 3 - 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