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Chapter 3: Q. 49 (page 252)

Graph the equation4x+y=4using the intercepts.

Short Answer

Expert verified

The graph of the given equation is

.

Step by step solution

01

Given information

The equation is given as4x+y=4.

02

Find the intercepts

Apply the definition of the intercepts to find the intercepts of the given equation.

  • The intercepts of the given equation are the points where the corresponding variables become zero.
  • Hence substitute the associated variables zero into the given equation to find the required intercepts.

4x+y=44x+0=44x=4x=44x=14x+y=44(0)+y=40+y=4y=4

03

Graph the equation using the intercepts

The graph of the linear equation is a straight line that passes through its intercepts.

  • As obtained, the intercepts of the given equation are (1,0) and (0,4).
  • Hence join the intercepts using a straight line to get the required graph of the equation.

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Most popular questions from this chapter

In the following exercise, determine the most convenient method to graph each line

2x-5y=-10

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

For the function fx=2x2+4x-3, evaluate the function.

  1. f2
  2. f-3
  3. f(h)

Determine whether each equation is a function.

  1. 4x+y=-3
  2. x+y2=1
  3. y-x2=2

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