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Chapter 3: Q.3.17 (page 245)

Graph using the intercepts:

x-2y=4

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Given equation is x-2y=4

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 y=0 in the equation and solving for x:

x-2y=4x-20=4x-0=4x=4

So the x-intercept is 4,0

03

Step 3. Find the y-intercept

To determine the y-intercept, plugging x=0 in the equation and solving for y:

x-2y=40-2y=4-2y=4-2y-2=4-2y=-2

So the y-intercept is 0,-2

04

Step 4. Plotting the intercepts

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

05

Step 5. Conclusion

The graph of the equation using the intercepts is

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