Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.1, Problem 10CYU
To determine

Graph each equation by making a table.

Expert Solution & Answer
Check Mark

Answer to Problem 10CYU

This a graph parallel to x − axis.

Explanation of Solution

Given:

The equation: −3+2y=−5

Concept Used:

Simplify the equation:

  −3+2y=−5−3+3+2y=−5+32y=−22y2  =  −22y=−1 Equation: y=−1 is a line parallel to x − axis.

The equation of a line parallel to x-axis:

Let AB be a straight line parallel to x-axis at a distance b units from it. Then, clearly, all points on the line AB have the same x − value b. Thus, AB can be considered as the locus of a point at a distance b from x-axis and all points on the line AB satisfy the condition y = b.

    Thus, if P(x, y) is any point on AB, then y = b. Algebra 1, Chapter 3.1, Problem 10CYU , additional homework tip 1

Hence, the equation of a straight line parallel to x-axis at a distance b from it is y = b.

To graph the equation make y as subject and make a table by choosing random value of x and find the corresponding value of y.

Calculation:

Simplify the equation:

  −3+2y=−5−3+3+2y=−5+32y=−22y2  =  −22y=−1 Equation: y=−1 is a line parallel to x − axis.

Step 1: in this simplified equation y=−1 ; x is not present. We can rewrite the equation as y=  0  ·  x−1

Take random value of x and find the value of corresponding y

Make a table:

    x y=  0  ·  x−1(x, y)
    – 8 y=  0  ·  x−1y=  0  ·  (−8)−1    [   x=−8  ]y=−1(−8,−1)
    0 y=  0  ·  x−1y=  0  ·  (0)−1    [   x=0  ]y=−1(0,−1)
    4 y=  0  ·  x−1y=  0  ·  (4)−1    [   x=4  ]y=−1(4,−1)

The points are: (−8,−1);    (0,−1);    (4,−1)

Graph of the equation: y=−1, this is a line parallel to x − axis.

  Algebra 1, Chapter 3.1, Problem 10CYU , additional homework tip 2

Thus, the points on the graph are: (−8,−1);    (0,−1);    (4,−1) for the equation y=−1

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Chapter 3.1, Problem 9CYU
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Chapter 3.1, Problem 11CYU

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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