Chapter 3: Q71. (page 253)

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $4 x + y = - 4$ ? Why ?

Short Answer

Expert verified

We prefer using the method of intercepts to graph the equation $4 x + y = - 4$ because $4 x + y = - 4$ is an implicit equation and it is easy to find $x, y$ intercepts when we have implicit equation.

Step by step solution

Step 1. Given information

The equation of a line is

$4 x + y = - 4$

Step 2. Identify the type of equation

The equation is

$4 x + y = - 4$

Since this is the equation of both $x, y$ variables.

So, this equation is an implicit equation.

Step 3. Decide methods

We know that

when we find $x -$ intercept, we plug $y = 0$ and find $x$

And for finding $y -$ intercept, we plug $x = 0$ and find $y -$ values.

These can be found easily when we have implicit equation.

Therefore, method of intercepts is preferred to sketch the graph.

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Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $4 x + y = - 4$ ? Why ?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the type of equation

Step 3. Decide methods

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Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation4x+y=-4? Why ?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the type of equation

Step 3. Decide methods

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Theoretical and Mathematical Physics

Calculus

Geometry

Logic and Functions

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 $4 x + y = - 4$ ? Why ?