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Chapter 4: Q. 658 (page 572)

Find the equation of a line and containg the given points.write the equation in slope intercept form

(2,10)and(-2,-2)

Short Answer

Expert verified

The equation of the line is y=3x+4.

Step by step solution

01

Step 1. Given information 

The given points are(2,10)and(-2,-2)

02

Step 2. Find the slope of the line through the given points

We know that

m=y2-y1x2-x1

m=-2-10-2-2

m=-12-4

m=3

03

Find the equation in slope intercept form

choose any point like (2,10)

localid="1656033531420" y-y1=m(x-x1)

y-10=3(x-2)

y-10=3x-6

y=3x+4

04

Step 4. Conclusion

The equation of the line isy=3x+4.

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