Question

the table below shows an additive relationship between x and y.

x	y
10	7
12	9
14	11

which equation represents the relationship between x and y?

• $y = x - 2$ (note: possible typo in original, but ocr as is? wait original options: first option maybe y = x - 2? wait users image: first option is y = x - 2? wait the users image shows options:
• $y = x - 2$
• $y = x - 3$
• $y = x + 2$
• $y = x + 3$ (wait maybe ocr error, but extract as per image: the table has x and y, then question which equation, with four options: first is y = x - 2, second y = x - 3, third y = x + 2, fourth y = x + 3? wait no, original users image: lets recheck. the users image: the table is x and y with rows 8-5, 10-7, 12-9, 14-11. then the question: which equation represents... the options: first circle: y = x - 2 (maybe? wait 8-5=3? wait 8-5=3, 10-7=3, 12-9=3, 14-11=3. so y = x - 3? wait maybe the first option is y = x - 2 (typo), but ocr text: extract the text as per the image. so ocrtext: \the table below shows an additive relationship between x and y.

x | y
8 | 5
10 | 7
12 | 9
14 | 11

which equation represents the relationship between x and y?

○ y = x - 2
○ y = x - 3
○ y = x + 2
○ y = x + 3\ (assuming the first option is y = x - 2, maybe a typo, but extract as is).

Explanation:

Step1: Test the first option

Take \( x = 8 \), \( y = 5 \). For \( y=x - 2\)? \( 8-2 = 6
eq5 \). So first option is wrong.

Step2: Test the second option

Take \( x = 8 \), \( y = 5 \). For \( y=x - 3\)? \( 8 - 3=5 \). Check another value: \( x = 10 \), \( 10-3 = 7\), which matches \( y = 7 \). Check \( x = 12 \), \( 12-3=9 \), matches \( y = 9 \). Check \( x = 14 \), \( 14 - 3=11 \), matches \( y = 11 \).

Answer:

\( y=x - 3 \) (Assuming the second option is \( y = x-3 \), the correct option is the one with \( y=x - 3 \))