Chapter 4: Q. 95 (page 452)

In the following exercises, graph by plotting points.
$2 x + 3 y = 12$

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.

$2 x + 3 y = 12$

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

$2 x + 3 y = 12 2 \times 0 + 3 y = 12$

Solve fory.

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

Step 3. Now let y=0

$2 x + 3 y = 12 2 x + 3 \times 0 = 12$

Solve for x.

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

Step 4. We need a third point. Remember, we can choose any value for x or y.We'll let x=3

$2 x + 3 y = 12 2 \times 3 + 3 y = 12 6 + 3 y = 12$

Subtract 6 on both side

$6 + 3 y - 6 = 12 - 6 3 y = 6$

Solve for y.

$\frac{3}{3} y = \frac{6}{3} y = 2$

Step 5. Plot all points in a rectangular coordinate system.Plot the points (0,4) (6,0), (3,2)

Step 6. Draw the lines through the three points.

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In the following exercises, graph by plotting points.
$2 x + 3 y = 12$

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=3

Step 5. Plot all points in a rectangular coordinate system.Plot the points (0,4) (6,0), (3,2)

Step 6. Draw the lines through the three points.

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In the following exercises, graph by plotting points.2x+3y=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=3

Step 5. Plot all points in a rectangular coordinate system.Plot the points (0,4) (6,0), (3,2)

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

Applied Mathematics

Probability and Statistics

Mechanics Maths

Pure Maths

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph by plotting points.
$2 x + 3 y = 12$