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 43STP
To determine

To calculate: The slope-intercept form of the equation for the line the passes through the points (−3,5) and (3,2) .

Expert Solution & Answer
Check Mark

Answer to Problem 43STP

The slope-intercept form of the equation for the line that passes through (−3,5) and (3,2) is y=−12x+72 .

Explanation of Solution

Given information:

The line passes through the points (−3,5) and (3,2) .

Formula used:

Slope of a line that passes through two points (a1,b1) and (a2,b2) is given by m=b2−b1a2−a1 , where m represents the slope of line.

Point-slope form of equation of a line is given by y−a1=m(x−b1) , where (a1,b1) are the coordinates of a point that lie on the line and m represents its slope.

Slope-intercept form of the equation for the line having m as its slope and c as y-intercept is given by y=mx+c .

Calculation:

Consider the provided information that line passes through the points (−3,5) and (3,2) .

Recall that slope of a line that passes through two points (a1,b1) and (a2,b2) is given by m=b2−b1a2−a1 , where m represents the slope of line.

So, slope of the line will be calculated as,

  m=2−53−(−3)=−36=−12

Recall that point-slope form of equation of a line is given by y−a1=m(x−b1) , where (a1,b1) are the coordinates of a point that lie on the line and m represents its slope.

So, use the point (3,2) and the slope m=−12 to frame the equation of the line and simplify it as,

  y−2=−12(x−3)2(y−2)=−1(x−3)2y−4=−x+32y=−x+7

Since, slope-intercept form of equation for the line having m as its slope and c as y-intercept is given by y=mx+c , convert the equation 2y=−x+7 into slope-intercept form by dividing both sides by 2 as,

  2y2=−x+72y=−12x+72

Thus, the slope-intercept form of the equation for the line that passes through (−3,5) and (3,2) is y=−12x+72 .

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Chapter 3.4, Problem 42STP
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Chapter 3.4, Problem 44STP

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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Prob. 30HPCh. 3.5 - Prob. 31HPCh. 3.5 - Prob. 32HPCh. 3.5 - Prob. 33HPCh. 3.5 - Prob. 34STPCh. 3.5 - Prob. 35STPCh. 3.5 - Prob. 36STPCh. 3.5 - Prob. 37STPCh. 3.5 - Prob. 38STPCh. 3.5 - Prob. 39SCh. 3.5 - Prob. 40SCh. 3.5 - Prob. 41SCh. 3.5 - Prob. 42SCh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 7QCCh. 3 - Prob. 8QCCh. 3 - Prob. 9QCCh. 3 - Prob. 10QCCh. 3 - Prob. 11QCCh. 3 - Prob. 12QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - 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