Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 3.6, Problem 19STP
To determine

Find the slope of the line that contains the points (1, − 5) and has the same y − intercept as 2x−y=9

Expert Solution & Answer
Check Mark

Answer to Problem 19STP

Slope: 4; Option D is correct.

Explanation of Solution

Given:

The point (1, − 5) and an equation 2x−y=9

Concept Used:

Slope and intercept form of an equation is: y=mx+b ; where m is the slope and b is the y − intercept.

Calculation:

Slope and intercept form of an equation is: y=mx+b ; where m is the slope and b is the y − intercept.

Convert the equation into 2x−y=9 slope − intercept form.

  2x−y=92x−9−y=9−92x−9−y=02x−9−y+y=+y2x−9=yy=2x−9

Slope and intercept of the equation y=2x−9 : slope − 2 and y − intercept is − 9

Now we need to find an equation which contains the points (1, − 5) and has the same y − intercept as 2x−y=9

Y − Intercept point is (0, − 9) and the other point is (1, − 5)

Find the slope of the line with two points (0, − 9) and the other point is (1, − 5)

  m=  y2−y1x2−x1m=  −5−(−9)1−01                 [   (x1,y1)=(0,−9)  ;  (x2,y2)=  (1, −5  )m=  −5+91  =  41m=4

Slope = 4. Option D is correct.

Thus, the slope is 4. Option D is correct.

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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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