The table represents some points on the graph of a linear function. х
-7.5
-3.5
-1
2
3.5
у
12
0
-7.5
-16.5
-21
Which function represents the same relationship?

y=-3x-10.5

Step-by-step explanation:

Let's use the first set of numbers.

-7.5 and 12

-3.5 and 0

Our rise here is -12 and run is 4.  So, our slope is -3.

Now we just need our intercept.

y = mx + b

y = -3x + b

0 = -3(3.5) + b

b = -10.5

Commutative Property  

Associative property

Additive inverse  

Identity property

Step-by-step explanation:

In a  commutative property multiplication and addition which posses commutative property takes place without considering the order of arrangement of data

12.2 + 18.6 + –4.3 + (–18.6)

12.2 + –4.3 + 18.6 + (–18.6)

The second step results into the presence of a commutative property.

The next step 12.2 + –4.3 + [18.6 + (–18.6)] is an associative property because here, re-grouping of numbers which gives the same result takes place

[18.6 + (–18.6)] is an additive inverse since the result is zero. Additive inverse occurs when the addition of a number to another number results into zero

12.2 + –4.3 + (0)   is an Identity property

Identity property occurs when the addition of any number with zero eventually resulted into that number.