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Chapter 4: Q. 4.29 (page 444)

Graph the equation4x+2y=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 equation4x+2y=8

02

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

First, let x=0.

4x+2y=84脳0+2y=8

Solve for y.

2y=822y=82y=4

03

Step 3. Now let y=0.

4x+2y=84x+2脳0=8

Solve for x.

4x=844x=84x=2

04

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

We'll let x=1

4x+2y=84脳1+2y=84+2y=8

Solve for y.

4+2y-4=8-42y=8-42y=422y=42y=2

05

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

06

Step 6. Draw the lines through the three points.

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Most popular questions from this chapter

In the following exercises, which order pair are solution to the given equation :

4x-2y=8

(a) (3,2)(b)(1,4)(c)(0,-4)

Which of the following ordered pairs are solutions to the equationy=-2x+6?

(a)(0,6)(b)(1,4)(c)(-2,-2)

Complete the table to find three solutions to this equation:

In the following exercises, which order pair are solution to the given equation :

3x-2y=12

(a)(4,0)(b)(2,-3)(c)(1,6)

Find the intercepts for3x+y=6
See all solutions

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