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Find the equation of the line given two points write the equation in slope intercept form

(3,8)and(3,-4)

Short Answer

Expert verified

The equation of the line containing the given point isx-3=0.

Step by step solution

01

Step 1. Given information

The given points are(3,8)and(3,-4)

02

Step 2. Find slope of the given two points

As we know that

m=y2-y1x2-x1

m=-4-83-3

m=-120

m=notdefined

03

Step 3. Find the equation of the line

Take one point as reference (3,8)

Now y-y1=m(x-x1)

y-8=-120(x-3)

-12(x-3)=0

x-3=0

04

Step 4. Conclusion

Therefore the equation of the line isx-3=0.

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