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Chapter 4: Q. 4.42 (page 459)

Find the intercepts of 2x-4y=8.

Short Answer

Expert verified

The x-intercept is (4,0)and the y-intercept is (0,-2).

Step by step solution

01

Step 1. Given information.

The given equation is:

2x-4y=8

02

Step 2. Determine the x-intercept.

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

2x-4(0)=82x=8x=82x=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.

2(0)-4y=8-4y=8y=8-4y=-2

The y-intercept is (0,-2).

04

Step 4. Conclusion.

The x-intercept is (4,0)and the y-intercept is (0,-2).

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