Chapter 4: Q. 71 (page 452)

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

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.

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

Step 2. Find three points whose coordinates are solutions to the equation.

You can choose any value forx andy.

In this case sincey is isolated on the left side of the equation. It is easier to choose values ofx.

Step 3. The given equation is y=12x+2Finding the point by putting the values.

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

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

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

Step 5. Draw the lines through the three points.

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find three points whose coordinates are solutions to the equation.

Step 3. The given equation is y=12x+2Finding the point by putting the values.

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

Step 5. Draw the lines through the three points.

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find three points whose coordinates are solutions to the equation.

Step 3. The given equation is y=12x+2Finding the point by putting the values.

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

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

Calculus

Discrete Mathematics

Statistics

Geometry

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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