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Chapter 3: Q. 52 (page 252)

Graph the equation2x-y=-8using the intercepts.

Short Answer

Expert verified

The graph of the equation is

.

Step by step solution

01

Given information

The equation is given as2x-y=-8for 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.

2x-y=-82x-0=-82x=-8x=-82x=-42x-y=-82(0)-y=-8-y=-8y=8

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 (0,8).
  • 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

Use graph of y=3x-1. For each ordered pair, decide :

(a) Is the ordered pair A(3,-1)B(-1,-4)a solution to the equation.

(b) Is the point A(3,-1)B(-1,-4)on the line?

Graph the equationsy=2x,y=2.

Graph the equation4x+y=4using the intercepts.

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