The correct answer is (D).
In order for a point to be on the number line, it should maintain the line equation:
Therefore, substitute the answer in y=5x+4, and check whether the equation is maintained.
Answer (A): (-1,-1)
-1=5x(-1)=4
-1=-5+4
-1=-1
The equation is maintained; therefore, this point also maintains the equation line.
Answer (B): (0,4)
4=5x0+4
4=0+4
4=4
The equation is maintained; therefore, this point also maintains the equation line.
Answer (C): (1,9)
9=5x1+4
9=5+4
9=9
The equation is maintained; therefore, this point also maintains the equation line.
Answer (D): (2,12)
12=5x2+4
12=10+4
12 ≠ 14
The equation is not maintained; therefore, this point is not on the equation line. This is the correct answer.
Even though you have found the solution, keep checking the answers.
Answer (E): (4,24)
24=5x4+4
24=20+4
24=24
The equation is maintained; therefore, this point also maintains the equation line.
The only point that does not maintain the equation is (2,12), accordingly, the correct answer is (D).
If you chose any other answer, review the solution.