Chapter 3: Q. 72 (page 253)

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $y = \frac{2}{3} x - 2$ ?

Short Answer

Expert verified

The method of plotting points is preferred to sketch the graph of the equation $y = \frac{2}{3} x - 2$ because this is an explicit equation and it is easy to find y-values for any random x-values.

Step by step solution

Step 1. Given information

The equation of a line is

$y = \frac{2}{3} x - 2$

Step 2. Identify the type of equation.

Since this equation has y in terms of x and y is alone on the left side.

So, this equation is an explicit equation.

Step 3. Explaining the intercepts method and method of plotting points

Intercepts method:

In this method, x and y-intercepts are found.

x-intercept can be found by plugging $y = 0$ and find $x$

y-intercept can be found by plugging $x = 0$ and find $y$ .

Method of plotting points:

In this method, some random x-values are selected and find their corresponding y-values.

Step 4. Selecting the right methods for explicit equation

Since the equation is explicit.

So, it is easy to find y-values for any random x-values.

Therefore the method of plotting points is perferred to graph of the equation of line $y = \frac{2}{3} x - 2$ .

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.

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $y = \frac{2}{3} x - 2$ ?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the type of equation.

Step 3. Explaining the intercepts method and method of plotting points

Step 4. Selecting the right methods for explicit equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Pure Maths

Applied Mathematics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation y=23x-2?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the type of equation.

Step 3. Explaining the intercepts method and method of plotting points

Step 4. Selecting the right methods for explicit equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Pure Maths

Applied Mathematics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $y = \frac{2}{3} x - 2$ ?