Question

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

Explanation:

Step1: Test first pair in equations

For $(x=3,y=2)$:

• $y=4x-1$: $4(3)-1=11

eq2$

• $y=3x-1$: $3(3)-1=8

eq2$

• $y=x-1$: $3-1=2$ ✔️
• $y=8x-1$: $8(3)-1=23

eq2$

Step2: Verify with second pair

For $(x=4,y=3)$:
$y=x-1$: $4-1=3$ ✔️

Step3: Verify third pair

For $(x=5,y=4)$:
$y=x-1$: $5-1=4$ ✔️

Step4: Verify fourth pair

For $(x=6,y=5)$:
$y=x-1$: $6-1=5$ ✔️

Answer:

$y = x - 1$