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Chapter 3: Q.17 (page 251)

In the following exercises, graph by plotting points.

y=12x+2

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Given equation isy=12x+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=12x+2y=120+2y=0+2y=2

Plugging x=2:

y=12x+2y=122+2y=1+2y=3

Plugging x=4:

y=12x+2y=124+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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