Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 3.1, Problem 62HP
To determine

Write an example of a linear equation of the form Ax + By = C for B = 0. Then describe the graph of the equation.

Expert Solution & Answer
Check Mark

Answer to Problem 62HP

Example equation is x = 4, it is parallel to the y − axis and it is called as vertical line.

Explanation of Solution

Given:

The equation in the form Ax + By = C for B = 0

Concept Used:

A linear equation is any equation that can be written in the form. ax+b=0 . Where a and b are real numbers and x is a variable. This form is sometimes called the standard form of a linear equation.

No variable in a linear equation is raised to a power greater than 1. Linear equations are those equations that are of the first order.

Standard form of Linear Equation is Ax+By+C  =  0 , where A, B and C are any integer.

Calculation:

The equation in the form Ax + By = C for B = 0

B = 0 means the coefficient of y is zero. There is no term with y.

Example equation: x = 4

Graph the equation x = 4

  Algebra 1, Chapter 3.1, Problem 62HP

Now graph the equation. x = 4 is a line parallel to the y − axis. It is called vertical line.

For any value of y, the x value is always 4.

The points on the line are (4 , 4 ) , ( 4 , 0 ) and ( 4 , − 4 )

Thus, example equation is x = 4, it is parallel to the y − axis and it is called as vertical line.

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Chapter 3.1, Problem 61HP
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Chapter 3.1, Problem 63HP

Chapter 3 Solutions

Algebra 1

Ch. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2CYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYP
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