Question

write the equation to describe the relationship in each table_______ _______ x. y. x. y 3 1. 8. 4 6. 2. 9. 5 9. 3. 10. 6 12. 4. 11. 7 15. 5. 12. 8

Answer 1

Part 1

we take the points

(3,1) and (6,2)

find the slope

m=(2-1)/(6-3)

m=1/3

the equation in slope intercept form

y=mx+b

we have

m=1/3

point (3,1)

substitute

1=(1/3)(3)+b

1=1+b

b=0

therefore

y=(1/3)x

Part 2

take the points (8,4) and (9,5)

slope

m=(5-4)/(9-8)

m=1/1

m=1

y=mx+b

we have

m=1

point (8,4)

4=(1)(8)+b

b=4-8

b=-4

therefore

y=x-4