Chapter 4: Q. 92 (page 452)

In the following exercises, graph by plotting points.
$\frac{1}{2} x + y = 3$

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.

$\frac{1}{2} x + y = 3$

Step 2. Find three points that are solutions to the equation.First, solve the equation for y.

$\frac{1}{2} x + y = 3$

Subtract $\frac{1}{2} x$ on both side

role="math" localid="1647679747059" $\frac{1}{2} x + y - \frac{1}{2} x = 3 - \frac{1}{2} x y = 3 - \frac{1}{2} x$

Step 3. Now the equation is y=3-12xFinding the point by putting the values.

$x = 0 x = 2 x = 4 y = 3 - \frac{1}{2} x y = 3 - \frac{1}{2} x y = 3 - \frac{1}{2} x y = 3 - \frac{1}{2} \times 0 y = 3 - \frac{1}{2} \times 2 y = 3 - \frac{1}{2} \times 4 y = 3 - 0 y = 3 - 1 y = 3 - 2 y = 3 y = 2 y = 1$

Now the points are $(0, 3), (2, 2), (4, 1)$

Step 4. Plot all points in a rectangular coordinate system.Plot the points (0,3), (2,2), (4,1)

Step 5. Draw the lines through the three points.

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In the following exercises, graph by plotting points.
$\frac{1}{2} x + y = 3$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find three points that are solutions to the equation.First, solve the equation for y.

Step 3. Now the equation is y=3-12xFinding the point by putting the values.

Step 4. Plot all points in a rectangular coordinate system.Plot the points (0,3), (2,2), (4,1)

Step 5. Draw the lines through the three points.

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find three points that are solutions to the equation.First, solve the equation for y.

Step 3. Now the equation is y=3-12xFinding the point by putting the values.

Step 4. Plot all points in a rectangular coordinate system.Plot the points (0,3), (2,2), (4,1)

Step 5. Draw the lines through the three points.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Statistics

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph by plotting points.
$\frac{1}{2} x + y = 3$