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Chapter 3: Q.3.20 (page 247)

Graph using the intercepts:

3x-4y=12

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Given equation is3x-4y=12

The graph of the equation is to be determined using the intercepts.

02

Step 2. Find the x-intercept

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

3x-4y=123x-40=123x-0=123x=123x3=123x=4

So the x-intercept is4,0

03

Step 3. Find the y-intercept

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

3x-4y=1230-4y=120-4y=12-4y=12-4y-4=12-4y=-3

So the y-intercept is0,-3

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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