Chapter 4: Q. 4.29 (page 444)

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

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 $4 x + 2 y = 8$

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

First, let $x = 0$ .

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

Solve for y.

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

Step 3. Now let y=0.

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

Solve for x.

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

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

We'll let $x = 1$

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

Solve for y.

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

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

Step 6. Draw the lines through the three points.

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

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 (0,4), (2,0), (1,2)

Step 6. Draw the lines through the three points.

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Graph the equation4x+2y=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 (0,4), (2,0), (1,2)

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

Probability and Statistics

Applied Mathematics

Geometry

Discrete Mathematics

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

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