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Chapter 3: Q. 48 (page 252)

Graph the equation x-y=-4using the intercepts.

Short Answer

Expert verified

The graph of the equation is

.

Step by step solution

01

Given information

The equation is given asx-y=-4for 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-y=-4x-0=-4x=-4x-y=-40-y=-4-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 (-4,0) and (0,4).
  • Hence join the intercepts using a straight line to get the required graph of the equation.

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