Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

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Question
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Chapter 3, Problem 9PT
To determine

To explain: The statement that describe the graph of two equations.

  x+4y=83x+12y=2

A. The lines are parallel.

B. The lines are the same.

C. The lines intersect in only one point.

D. The lines intersect in more than one point, but are the same.

Expert Solution & Answer
Check Mark

Answer to Problem 9PT

The system of equations is represent parallel lines. Option A. is correct.

Explanation of Solution

Given information:

The system of equations

  x+4y=83x+12y=2

Formula used:

The slope intercept of a line is y=mx+c where m is the slope and c is the intercept of y-axis.

Calculation:

Consider the system of equations

  x+4y=83x+12y=2

Recall that the slope intercept of a line is y=mx+c where m is the slope and c is the intercept of y-axis.

Therefore, the equation x+4y=8 in slope intercept form is,

  y=−x4+2

Therefore, the equation 3x+12y=2 in slope intercept form is,

  y=−3x12+212y=−x4+16

It is observed that both the lines have same slope but different intercepts.

Therefore, the lines are parallel.

Thus, the system of equations is represent parallel lines. Option A. is correct.

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Chapter 3, Problem 8PT
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Chapter 3, Problem 10PT

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2ACYPCh. 3.1 - Prob. 2BCYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYPCh. 3.1 - Prob. 4CCYPCh. 3.1 - Prob. 4DCYPCh. 3.1 - Prob. 1CYU
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