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Chapter 3: Q.11 (page 251)

In the following exercises, graph by plotting points.

y=3x-1

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Given equation isy=3x-1

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=3x-1y=30-1y=0-1y=-1

Plugging x=1:

y=3x-1y=31-1y=3-1y=2

Plugging x=2:

y=3x-1y=32-1y=6-1y=5

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

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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