Chapter 4: Q. 4.30 (page 444)

Graph the equation $2 x - 4 y = 8$

Short Answer

Expert verified

The graph of the equation is

Step by step solution

Step 1. Given Information

In the given question we have to graph the equation $2 x - 4 y = 8$

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

First, let $x = 0$ .

$2 x - 4 y = 8 2 \times 0 - 4 y = 8 - 4 y = 8$

Solve for y.

$\frac{- 4}{- 4} y = \frac{8}{- 4} y = - 2$

Step 3. Now let y=0.

$2 x - 4 y = 8 2 x - 4 \times 0 = 8 2 x = 8$

Solve for x.

$\frac{2}{2} y = \frac{8}{2} y = 4$

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

We'll let $y = 1$

$2 x - 4 y = 8 2 x - 4 \times 1 = 8 2 x - 4 = 8$

Solve for x.

$2 x - 4 + 4 = 8 + 4 2 x = 12 \frac{2}{2} x = \frac{12}{2} x = 6$

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

Step 6. Draw the lines through the three points.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Graph the equation $2 x - 4 y = 8$

Short Answer

Step by step solution

Step 1. Given Information

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

Step 3. Now let y=0.

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

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

Step 6. Draw the lines through the three points.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Graph the equation2x−4y=8

Short Answer

Step by step solution

Step 1. Given Information

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

Step 3. Now let y=0.

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

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

Step 6. Draw the lines through the three points.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Graph the equation $2 x - 4 y = 8$