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Chapter 3: Q.3.16 (page 244)

Find the intercepts:

x+4y=8

Short Answer

Expert verified

The intercepts are the points8,0,0,2

Step by step solution

01

Step 1. Given Information

The given equation isx+4y=8

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:

x+4y=8x+40=8x+0=8x=8

So the x intercept is8,0

03

Step 3. Find the y-intercept

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

x+4y=80+4y=84y=84y4=84y=2

So the y intercept is0,2

04

Step 4. Conclusion

The intercepts of the equation are the point8,0,0,2

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