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
