BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

1st Edition

ISBN: 9781608408382

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3, Problem 4CT

To determine

To graph: the equation 2x−3y=6 and identify the intercepts and if equation is linear find the slope.

Expert Solution & Answer

Answer to Problem 4CT

The x -intercept is (3,0) , the y -intercept is (0,−2)

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 3, Problem 4CT , additional homework tip 1

Slope of the equation is m=23

Explanation of Solution

Given:

The equation is 2x−3y=6 .

Calculation:

To find x -intercept just substitute 0 for y and continue to solve the equation.

2x−3(0)=62x−0=62x=6x=3

This, gives that x -intercept is (3,0)

Similarly, to find y -intercept just substitute 0 for x and continue to solve the equation.

2(0)−3y=60−3y=6−3y=6y=−2

This, gives that y -intercept is (0,−2)

Now, plot the points (3,0) and (0,−2) and draw a line passing through both the points. This line is the graph of the given equation.

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 3, Problem 4CT , additional homework tip 2

Now, a linear function in two variables x and y is an equation that can be written as y=mx+b , here m is the slope of the equation.

Consider,

2x−3y=63y=2x−6y=2x−63y=23x−2

Since, the given equation can be written in the form y=mx+b , it is linear and its slope is m=23 .

Chapter 3, Problem 3CT

Chapter 3, Problem 5CT

Chapter 3 Solutions

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

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Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - Prob. 4E Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - 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To graph: the equation 2 x − 3 y = 6 and identify the intercepts and if equation is linear find the slope.

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To graph: the equation 2x−3y=6 and identify the intercepts and if equation is linear find the slope.

Answer to Problem 4CT

Explanation of Solution

Chapter 3 Solutions