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Answer:

D. y=x+6

Step-by-step explanation:

To find out which one of these ordered pairs are solutions you just plug the three points into them.

For y=2x+5

(1,7)

7=2+5 which is 7=7 which is true

(3,9)

9=6+5 which is 9=11 which is not true so y=2x+5 is not an option

For y=4+3x

(1,7)

7=4+3 which is 7=7 which is true

(3,9)

9=4+9 which is 9=13 which is not true so y=4+3x is not an option

For y=5+2x

(1,7)

7=5+2 which is 7=7 which is true

(3,9)

9=5+6 which is 9=11 which is not true so y=5+2x is not an option

For y=x+6

(1,7)

7=1+6 which is 7=7 which is true

(3,9)

9=3+6 which is 9=9 which is true

(5,11)

11=5+6 which is 11=11 which is true so

D. y=x+6 is the answer

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