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Chapter 4: Q. 4.30 (page 444)

Graph the equation2x鈭�4y=8

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information 

In the given question we have to graph the equation2x鈭�4y=8

02

Step 2. Find three points that are solutions to the equation.

First, let x=0.

2x鈭�4y=82脳0鈭�4y=8鈭�4y=8

Solve for y.

鈭�4鈭�4y=8鈭�4y=鈭�2

03

Step 3. Now let y=0.

2x鈭�4y=82x鈭�4脳0=82x=8

Solve for x.

22y=82y=4

04

Step 4. We need a third point. Remember, we can choose any value for x or y.

We'll let y=1

2x鈭�4y=82x鈭�4脳1=82x鈭�4=8

Solve for x.

2x鈭�4+4=8+42x=1222x=122x=6

05

Step 5. Plot all points in a rectangular coordinate system.We list the ordered pairs in (0,-2), (4,0), (6,1)

06

Step 6. Draw the lines through the three points. 

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Complete the table to find three solutions to this equation:

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