Question

Create a table for x and y
y= -2/3 +7
the function of the is domain -12, -6, 3,15

Answer 1

Attention! the "x" variable was missing in your typed question, but I am assuming that the actual function was defined by:
`y=-(2)/(3) x+7`

Table:

`\left[\begin{array}{cc}x & y\\-12&15\\-6&11\\3&5\\15&-3\end{array}\right]`

Explanation:

In order to complete the requested table, we need to evaluate "y" for the four given values of the "x" variable in the Domain: {-12. -6, 3, 15}

Evaluation:

`y=-(2)/(3) x+7\\y=-(2)/(3) (-12)+7=8+7=15`

`y=-(2)/(3) x+7\\y=-(2)/(3) (-6)+7=4+7=11`

`y=-(2)/(3) x+7\\y=-(2)/(3) (3)+7=-2+7=5`

`y=-(2)/(3) x+7\\y=-(2)/(3) (15)+7=-10+7=-3`

The table therefore will be:

`\left[\begin{array}{cc}x & y\\-12&15\\-6&11\\3&5\\15&-3\end{array}\right]`