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Chapter 3: Q.3.22 (page 249)

Graph using the intercepts:

y=-x

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Given equation isy=-x

The graph of the equation is to be determined using the intercepts.

02

Step 2. Find the x-intercept

To determine the x-intercept, plugging y=0in the equation and solving for x:

y=-x0=-xx=0

So the x-intercept is0,0

03

Step 3. Find the y-intercept

To determine the y-intercept, plugging x=0in the equation and solving for y:

y=-xy=-0y=0

So the y-intercept is(0,0)

Here both the intercepts are the same.

To graph a line accurately, three points are needed. Since the intercept is only one point, two other points are to be determined.

04

Step 4. Find the points

To determine the points, plugging x values and the corresponding y values are to be calculated.

Plugging x=1:

y=-xy=-1

Plugging x=2:

y=-xy=-2

Hence the points are1,-1,2,-2

05

Step 5. Plotting the points

Plotting the points on the rectangular coordinate plane and joining them using a line:

06

Step 6. Conclusion

The graph of the equation by plotting points is

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Most popular questions from this chapter

Graph the equationsy=2x,y=2.

Graph the equation y=x4+2by plotting points.

For the function g(x)=4x-7, evaluate the function.

  1. gm2
  2. gx-3
  3. localid="1644747294810" gx-g3

Graph the equation x+2y=4using the intercepts.

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?
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