Chapter 4: Q. 96 (page 452)

In the following exercises, graph by plotting points.
$4 x + 2 y = 12$

Short Answer

Expert verified

The graph of the equation is

Step by step solution

Step 1. Given Information

In the given exercises we have to graph by plotting points.

$4 x + 2 y = 12$

Step 2. Find three points that are solutions to the equation.First, let x=0

$4 x + 2 y = 12 4 \times 0 + 2 y = 12$

Solve for y.

$2 y = 12 \frac{2}{2} y = \frac{12}{2} y = 6$

Step 3. Now let y=0

$4 x + 2 y = 12 4 x + 2 \times 0 = 12$

Solve for x.

$4 x = 12 \frac{4}{4} x = \frac{12}{4} x = 3$

Step 4. We need a third point. Remember, we can choose any value for x or y.We'll let x=1

$4 x + 2 y = 12 4 \times 1 + 2 y = 12 4 + 2 y = 12$

Subtract by on both side

$4 + 2 y - 4 = 12 - 4 2 y = 8$

Solve for y.

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

Step 5. Plot all points in a rectangular coordinate system.Plot the points (0,6) (3,0), (1,4)

Step 6. Draw the lines through the three points.

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In the following exercises, graph by plotting points.
$4 x + 2 y = 12$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find three points that are solutions to the equation.First, let x=0

Step 3. Now let y=0

Step 4. We need a third point. Remember, we can choose any value for x or y.We'll let x=1

Step 5. Plot all points in a rectangular coordinate system.Plot the points (0,6) (3,0), (1,4)

Step 6. Draw the lines through the three points.

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In the following exercises, graph by plotting points.4x+2y=12

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find three points that are solutions to the equation.First, let x=0

Step 3. Now let y=0

Step 4. We need a third point. Remember, we can choose any value for x or y.We'll let x=1

Step 5. Plot all points in a rectangular coordinate system.Plot the points (0,6) (3,0), (1,4)

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

Theoretical and Mathematical Physics

Applied Mathematics

Calculus

Logic and Functions

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, graph by plotting points.
$4 x + 2 y = 12$