Chapter 3: Q.17 (page 251)

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

Given equation is $y = \frac{1}{2} x + 2$

The graph of the equation is to be determined plotting points.

Step 2. Find the points

A graph a linear equation two points are required and a third point would verify if the graph is correct i.e. if all the three lie on the same line then the graph is correct.

To determine the points, plugging x values and the corresponding y values are to be calculated.

Plugging $x = 0$ :

$y = \frac{1}{2} x + 2 y = \frac{1}{2} (0) + 2 y = 0 + 2 y = 2$

Plugging $x = 2$ :

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

Plugging $x = 4$ :

$y = \frac{1}{2} x + 2 y = \frac{1}{2} (4) + 2 y = 2 + 2 y = 4$

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

Step 3. Plotting the points

Plotting the points on the rectangular coordinate plane and joining them using a line:

Step 4. Conclusion

The graph of the equation by plotting points is

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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 the points

Step 3. Plotting the points

Step 4. Conclusion

One App. One Place for Learning.

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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 the points

Step 3. Plotting the points

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Probability and Statistics

Mechanics Maths

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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