Question

A. x 1 2 3 y 1 4 9 B. x 1 2 3 y 2 5 10 C. x 1 2 3 y 3 6 9 D. x 1 2 3 y 0 3 8 Which table can be represented by a line? A) B) C) D)

Answer 1

A.)
x  y
1  1
2  4
3  9
dx=2-1→dx=1   dy=4-1→dy=3
dx=3-2→dx=1   dy=9-4→dy=5 different to 3, then this table can not be represented by a line

B.)
x  y
1  2
2  5
3  10
dx=2-1→dx=1   dy=5-2→dy=3
dx=3-2→dx=1   dy=10-5→dy=5 different to 3, then this table can not be represented by a line

C.)
x  y
1  3
2  6
3  9
dx=2-1→dx=1   dy=6-3→dy=3
dx=3-2→dx=1   dy=9-6→dy=3, then this table can be represented by a line

D.)
x  y
1  0
2  3
3  8
dx=2-1→dx=1   dy=3-0→dy=3
dx=3-2→dx=1   dy=8-3→dy=5 different to 3, then this table can not be represented by a line

Answer: Option C. x 1 2 3 y 3 6 9