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Chapter 3: Q.13 (page 251)

In the following exercises, graph by plotting points.

y=-x-3

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Given equation isy=-x-3

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-3y=-0-3y=-3

Plugging x=1:

y=-x-3y=-1-3y=-4

Plugging x=2:

y=-x-3y=-2-3y=-5

Hence the points are0,-3,1,-4,2,-5

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 exercise, determine the most convenient method to graph each line

x-y=5

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Use the slope formula to find the slope of the line between each pair of points.

-2,-1,6,5.

Graph the equation-x+4y=8using the intercepts.

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

(7, 1) and (5, 0)
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