Chapter 3: Q.13 (page 251)

In the following exercises, graph by plotting points.
$y = - x - 3$

Short Answer

Expert verified

The graph of the equation is

Step by step solution

Step 1. Given Information

Given equation is $y = - x - 3$

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 $x = 0$ :

$y = - x - 3 y = - 0 - 3 y = - 3$

Plugging $x = 1$ :

$y = - x - 3 y = - 1 - 3 y = - 4$

Plugging $x = 2$ :

$y = - x - 3 y = - 2 - 3 y = - 5$

Hence the points are $(0, - 3), (1, - 4), (2, - 5)$

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, graph by plotting points.
$y = - x - 3$

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

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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

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

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph by plotting points.
$y = - x - 3$