Question

which equation gives the rule for this table?

x	y
2	1
3	2
4	3
5	4

$y = x + 49$ $y = x - 1$ $y = 6x + 49$ $y = 6x - 1$

Explanation:

Step1: Test first pair in equations

For $(x=2,y=1)$:

• $y=x+49$: $2+49=51

eq1$

• $y=x-1$: $2-1=1$ ✔️
• $y=6x+49$: $6*2+49=61

eq1$

• $y=6x-1$: $6*2-1=11

eq1$

Step2: Verify with second pair

For $(x=3,y=2)$:
$y=x-1$: $3-1=2$ ✔️

Step3: Verify remaining pairs

For $(x=4,y=3)$: $4-1=3$ ✔️
For $(x=5,y=4)$: $5-1=4$ ✔️

Answer:

B. $y = x - 1$