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Chapter 3: Q.3.21 (page 248)

Graph using the intercepts:

y=4x

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Given equation isy=4x

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 in the equation and solving for x:

y=4x0=4xx=0

So the x-intercept is0,0

03

Step 3. Find the y-intercept

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

y=4xy=40y=0

So the y-intercept is0,0

Here both the intercepts are 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=4xy=41y=4

Plugging x=2:

y=4xy=42y=8

Hence the points are1,4,2,8

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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