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Chapter 3: Q.14 (page 251)

In the following exercises, graph by plotting points.

y=-x-2

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Given equation isy=-x-2

The graph of the equation is to be determined plotting points.

02

Step 2. Find the points

A graph a linear equation two points are required and a third point would verify if the graph is correct i.e. if all the three lie on the same line then the graph is correct.

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

Plugging x=0:

y=-x-2y=-0-2y=-2

Plugging x=1:

y=-x-2y=-1-2y=-3

Plugging x=2:

y=-x-2y=-2-2y=-4

Hence the points are0,-2,1,-3,2,-4

03

Step 3. Plotting the points

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

04

Step 4. Conclusion

The graph of the equation by plotting points is

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Most popular questions from this chapter

In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

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Find an equation of a line parallel to the given line 2x+5y=-10and contains the given point(10,4). Write the equation in slope鈥搃ntercept form.

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Find the intercepts of the equation3x-2y=12.
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