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Chapter 3: Q. 46 (page 252)

Graph the equation x+2y=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 as x+2y=4to get the graph.

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.

x+2y=4x+2(0)=4x=4x+2y=40+2y=42y=4y=42y=2

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 (4,0) and (0,2).
  • Hence join the intercepts using a straight line to get the required graph of the equation.

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