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Chapter 4: Q. 4.39 (page 458)

Find the intercepts of 3x+y=12.

Short Answer

Expert verified

The x-intercept is (4, 0) and the y-intercept is (0, 12).

Step by step solution

01

Step 1. Given information.

The given equation is:

3x+y=12

02

Step 2. Determine the x-intercept.

Substitute y=0in the given equation to find the x-intercept.

3x+(0)=123x=12x=123x=4

The x-intercept is (4, 0).

03

Step 3. Determine the y-intercept.

Substitute x=0in the given equation to find the y-intercept.

3(0)+y=12y=12

The y-intercept is (0, 12).

04

Step 4. Conclusion.

The x-intercept is (4, 0) and the y-intercept is (0, 12).

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