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Chapter 3: Q.3.15 (page 244)

Find the intercepts:

3x+y=12

Short Answer

Expert verified

The intercepts are the points4,0,0,12

Step by step solution

01

Step 1. Given Information

The given equation is 3x+y=12

The intercepts of the equation are to be determined.

02

Step 2. Find the x-intercept

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

3x+y=123x+0=123x=123x3=123x=4

So the x intercept is4,0

03

Step 3. Find the y-intercept

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

3x+y=1230+y=120+y=12y=12

So the y intercept is0,12

04

Step 4. Conclusion

The intercepts of the equation are the points4,0,0,12

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