Question

which equation gives the rule for this table?
x | y
3 | 2
4 | 3
5 | 4
6 | 5
options: y = 4x - 1; y = 3x - 1; y = x - 1; y = 8x - 1

Explanation:

Step1: Test first pair (3,2)

Substitute $x=3$ into $y=x-1$: $y=3-1=2$

Step2: Test second pair (4,3)

Substitute $x=4$ into $y=x-1$: $y=4-1=3$

Step3: Test third pair (5,4)

Substitute $x=5$ into $y=x-1$: $y=5-1=4$

Step4: Test fourth pair (6,5)

Substitute $x=6$ into $y=x-1$: $y=6-1=5$

Answer:

$y = x - 1$