Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.4, Problem 45STP
To determine

To calculate: The x -intercept and the y -intercept of the equation 2x−6y=12 and graph of the equation.

Expert Solution & Answer
Check Mark

Answer to Problem 45STP

The x-intercept is 6 and y-intercept is −2 and graph of the equation is,

  Algebra 2, Chapter 3.4, Problem 45STP , additional homework tip 1

Explanation of Solution

Given information:

The equation 2x−6y=12 .

Formula used:

The ordinate of a point that cuts y-axis on the graph is called y-intercept and the abscissa of a point that cuts x-axis is called x-intercept.

Calculation:

Consider the provided equation 2x−6y=12 .

Recall that the ordinate of a point that cuts y-axis on the graph is called y-intercept and the abscissa of a point that cuts x-axis is called x-intercept.

Substitute x=0 in the equation 2x−6y=12 as,

  2x−6y=122(0)−6y=12y=12−6y=−2

The value of y-intercept is −2 .

Substitute y=0 in the equation 2x−6y=12 as,

  2x−6y=122x−6(0)=12x=122x=6

The value of x-intercept is 6 .

So, the points are (0,−2) and (6,0) .

Now, use the points to graph the equation 2x−6y=12 as,

  Algebra 2, Chapter 3.4, Problem 45STP , additional homework tip 2

Thus, the x-intercept is 6 and y-intercept is −2 and graph of the equation is,

  Algebra 2, Chapter 3.4, Problem 45STP , additional homework tip 3

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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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