Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Chapter 3, Problem 39SGR
To determine

To graph the equation then state the slope and y- intercept of line.

Expert Solution & Answer
Check Mark

Answer to Problem 39SGR

Graph of the given equation:

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3, Problem 39SGR , additional homework tip  1

Slope of the line is 34 .

y-intercept of line is 2.

Explanation of Solution

Given information: We have given linear equation 3x+4y=8

Solution:

In order to graph the line, we need to get two points.

Plugging x=0 in given equation

  3(0)+4y=84y=8

Divide both sides by 4.

  4y4=84y=2

We got first coordinate (0, 2).

Now, plugging x=4 in given equation

  3(4)+4y=812+4y=8

Subtract 12 on both sides and dividing by 4.

  12+4y12=8124y=4y=1

So, we got second coordinate (4,-1).

Draw a line by joining the points (0,2) and (4,1)

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3, Problem 39SGR , additional homework tip  2

From the graph, we can see that line crosses y-axis at 2. Therefore, y-intercept is 2.

Now, if we go 3 units down and 4 units right, we get another coordinate (4,-1).

So the slope will be

  RiseRun=2(1)04=34

Therefore, slope of the line is 34 .

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42PPSCh. 3.1 - Prob. 43PPSCh. 3.1 - Prob. 44PPSCh. 3.1 - Prob. 45PPSCh. 3.1 - Prob. 46PPSCh. 3.1 - Prob. 47PPSCh. 3.1 - Prob. 48PPSCh. 3.1 - Prob. 49PPSCh. 3.1 - 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