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Chapter 3: Q. 71 (page 253)

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

Short Answer

Expert verified

The method using the intercepts is preferred to sketch the graph of the equation 4x+y=-4because this is an implicit equation and it is easy to find x and y-intercepts for any implicit equation.

Step by step solution

01

Step 1.  Given information

The equation of a line is

4x+y=-4

02

Step 2. Identify the type of equation.

Since this equation has both x and y variables on the left side.

So, this equation is an implicit equation.

03

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=0and find y.

Method of plotting points:

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

04

Step 4. Selecting the right methods for implicit equation 

Since the equation is implicit.

So, it is easy to find x and y-intercepts for any implicit equation.

Therefore the intercepts method is perferred to graph of the equation of line4x+y=-4

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Most popular questions from this chapter

Use the slope formula to find the slope of the line between each pair of points.

-1,-2,2,5.

Find the intercepts of the equationx-y=-4.

Determine whether each graph is the graph of a function.

In the following exercise, use the graph of the function to find its domain and range. Write the domain and range in interval notation.

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

f(x)=|x|+1
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